{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using the `py-mie` library\n",
    "\n",
    "\n",
    "Below is a very quick, hacked together jupyter notebook that details how to use the `py-mie` python library to make basic Mie calculations for homogeneous and heterogeneous particles.\n",
    "\n",
    "There are just three functions available in the library:\n",
    "\n",
    "  * `bhmie_scatter`\n",
    "  * `core_shell_scatter`\n",
    "  * `integrate_mode`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import mie\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as mtick\n",
    "import seaborn as sns\n",
    "\n",
    "rc = {\n",
    "    \"figure.figsize\": (12,6),\n",
    "    \"xtick.major.size\": 12.0,\n",
    "    \"xtick.minor.size\": 8.0,\n",
    "    \"ytick.major.size\": 12.0,\n",
    "    \"ytick.minor.size\": 8.0,\n",
    "    \"axes.linewidth\": 1.75,\n",
    "    \"xtick.color\": '0',\n",
    "    \"ytick.color\": '0',\n",
    "    \"axes.labelcolor\": '0'\n",
    "}\n",
    "\n",
    "sns.set(\"notebook\", style=\"ticks\", palette='deep', rc=rc, font_scale=1.75)\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `mie.bhmie_scatter(particle_radius, radiation_lambda, n_particle)`\n",
    "\n",
    "The `bhmie_scatter` function computes the scattering/absoprtion efficiency and assymetry parameter for a homogeneous particle.\n",
    "\n",
    "The function has three parameters:\n",
    "\n",
    "  * `particle_radius`: total particle radius (core and shell) in microns\n",
    "      \n",
    "  * `radiation_lambda`: wavelength of the incident light in microns\n",
    "  * `n_particle`: complex refractive index of the particle material\n",
    "  \n",
    "The function returns three floats:\n",
    "\n",
    "  * $Q_{sca}$: Scattering efficiency\n",
    "  * $Q_{abs}$: Absoprtion efficiency\n",
    "  * $asym$: assymetry parameter for the specified particle\n",
    "\n",
    "### Example: Scattering and Absorption by Homogeneous Black Carbon"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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Kfbj/YUUFazhPCFn2ifOcI44ufphTq7YUyFFKZUUrS9X9H4WLazymL9c5mNcR66AzlWUt\n4WsVgzVlRSHLFgNrwzTNDP7/+5ya04spUaOozRQ0v8MMNnQKEWitdzg1zmdhbgCUrNX+A2ZE22/L\nsM3ZmGS1ZK3y74EZumyjtQpRKyRcc0rLsmYAK2zbvjGGsn/G3OkNdup9zLbtKVE3EkIU02ZEQYBO\nSqkhOvLw98GEbLOz3X6l1AbgOKfjfMn55Z7HDL4wDNN86St9eBS8UME7xKF3xCP1VSu5XGMShROV\nUp7QfnkASqnBmIvCr3TIMO9V5CfMBdPJEdZHWn4EJ+Ep6/GK1VpgD9Av3PGKNUZHsCnlg1rrsDU0\nzkXiGEw/r+tLrO6LuRAMdarzOF+Z0RDHAeu01q86d+S/AL5QSn2MucA7HTOYzEpMjVoPpVR9HTL9\nguMUTC1ymfr8AQMxc2KFGuI8BqfPiLVfZawxLjlqy8oR9XiHLtRmhM65mIvpczBJf5kG+ihFuFr8\ntzC15zcopZ7UWkdKkm/CjLr4fbhm3EHl/D8q66A+wee6EzPa52laa69S6mdMX6+/RtnmAcz/W6zP\naWFqys7TWueHWf8t8EellKtEE8fgTaXQ974R5nPcx5GaO/EsdrZzE6aPovOdMYPDzRijCU4Yvjy4\nwLm5dwkwVWtdpJRqB2wM6Zt61DaOs4B5+sjpUoL9ci9y/o40Iq4QtVJC1cRZlnUPZgjpWMr+GTP8\n7RLgRswF3bOWZV1RdREKUSs9grlIeEMp1bvkSqVUOmakSRszLHrQK5iO/I+GNm9ymr2cj2l6FmzG\n1bxkEyhlRvsLdmTzhKwKJhcl+/wcsdxpgvYG5uJjUkjNX3Ao/RcwoyOmhn/ZlceprfwI6KmUOmIA\nDaXUNcTehyp4gVaW4xVrjH7Me9aQo4/XpZikpVTOIAkjnFjfjVL0Bcx5dYlSKrQmyMLUpBUPtqCU\naoOZX8/nbHcQ8949EGZQhmDfwnXO6/JxuAngU04tQnC/TTk86uZLsby+kBj/6iSTwX21wCQzXg43\nLYx0rh6hDDHGOvpjWZR2vF8Ms81LmP+bJzCvMdww9ZFETEycc/ouDk/vAIDWejPm2NYDvnYuzktu\nezUm0SvENK2Npjz/RzG9lyX2NRHTRPO3If00XwNaqaMHgiqmtf6r1vp0rfUZMf6crrUeHiGBAzM9\nhIUZnCpUb44ekOZD4KzQmzhODWdf4GOt9SZtBtNZjUlOwzkJ83lXmqEcXaM2DGiLOU4Af9NHDi50\n1DZOH+zBYfZ1OaYVxHRlRum8OYaYhKg1EqImzrIsN/Ag8GdivzN1F/CNbdvnO39PsSzrO8wXQVna\n7gtxTNNav6yUOh7z/zdPKfUDZoqAQ5ihv4dj7t4+6vSLCHoY84U8FuijzBxh9TCDWbiBi7XWa5RS\nczB3Sxcqpb7CXDidgen3sB1oyuG783C4L9JIpdS/gA+01nPDLcdMc9AfcyPndKXULGf/v8NMtv2i\n1vrTSjhMsbjRiWWyUup8zA2mnpg7yLsw/eZKTtNwBKcWpKzHqyzuxcyvdiMwSCk1G3NBOwJT63Rc\nDPsY68T0ji4x4XaJ1/K9Umo5ph/NZYQMrIC5YF6qlJqKacY1GpNc/jk42IUyw+A/CKxQSk3DNPtT\nmHm+tmFuPgTdiTn2l2DOxRnOfs/BHPfJ+sjpBWJRD1iilHofc4F8rhPjLVrrYA1dpHM1nKqIMVbR\njnfJGg8wyflTmIvt6VFqxsKxOHqKgWCfzHMxzTjnAf8O3Uhr/bCTTNwJ/Oqc+8sxTZFPxtSeHQIu\n1VovihZAOf+PyvJeosx8bJcBA/WRQ+6/jTk3L8P0xatyWut5ykxYPlGZ+Tm9SqkemCkdri/RUuIh\nzAiTY52bT2AGENrCkX1Yr8Pc2MvRWn8FxTf0JgDLtdY/RIvJ+U5pjRmMKFQXIFdr/aNSagghNcFR\nthmCualQMonrjum351VK3QVISyxxTKn2mjjLslIw1fe3cbhGoLRtGmOaeJT8gPwSaG5ZVqQ+H0KI\nMLTWf8HUxLyEubC5HPM/eSrmC/U0rfUdJbYp5PDkyxam+dt5OBOAh3zJn4vpW5EJ3OD8vQMzYez/\nOWVGhux3A2bQg3yn/NBIy7WZkPxkzIWFGzMh7QWYgQvGaK1LzkdVZbTWm3CG4MYkb+MxF67nc7gf\nx6HwWx+hTMerjDHmYS6IHsR8hl6HGcXzCqLXqoW6AtN09NUYygZrbkNrJwOY5k/vO48XYVpSnKu1\nfjwk1kmYZpsa89pvwTSRew7o4xzvYNkDmCaJ92IS5asxF7BLgN/pIyf6joXtvM63MOf0BZjmmCO0\nmY4h+LwbCHOuhlMFMcYqpuNdItY8zE0SKHvtoM3RUwzcjeljtRHzuXK6PnKE0eDz3o1JdF/F3EC6\nBtMkNwlTK9hVa/1Bye0iqJTPnXCUUk9izunR+sj5GnES3s+B3zlJT7z8EZMQzXFuqD0J/EGXmOxb\na60xtdwvKKW+cprOeoC+2kzNEiz3DWYS8SuVUt87N8g+xvSPLLW7CyZZ34gZ8TTU25gpax4DTtZa\nPx/DNi0x/yfzSix/FGimlHoEM9XJshjiEqLWsGy7XM3AKy8Ay6qH6U9yk23bn1mWFQCeidYnzqm5\nywE+tG17TMjyVzEdZuvZtl2yv4cQQlQZpwnYxjB9zXAulAYCTXQcJwIWZefUaIzBNDmr6r6UCUuZ\naR0aAm105KHkj0lKqScw/e0+ibC+GybBeDpSGSGEqKhqb05p2/Y+y7I627Yd85eEbdt+y7LuBJ60\nLOt74DNMs66LgcclgRNCVIP5mJHdOjk1hAA4fWMGAkskgRM1gVLqQkxTtQmSwB1Nax2175XTRHV4\nnMIRQhyjqj2JAyhLAhfifUy7/skhyz7h8DxWQggRT09gBotYrpT6EDOggMI02TrIkU0KhUg4SqnP\nMX2SOmMGJXqqeiMSQggRSbX3iSsPy7LqYIZ4PhW4D9PW/UHMAAL/reznU0rNdZpDCSFEWFrriZj+\nNhrTj+oWzOhwr2H6cM2PsrkQiWA7ZjCTn4DfhJkKQQghRIKo9j5xJcXYJ+46TIflMbZtvxmy/CpM\nR/rzbNuO2vnZsqwJmLvmpWrfvj0ul2vfmjVr6pdeunxzzQghhBBCCCGOGeWZ87VYjayJwwwRHODo\n0dTewiRRpx61RQm2bU+wbduK5cfj8Wx0u91yR1IIIYQQQghR7WpqEleIyV7dJZYHX0+FMlshhBBC\nCCGESFQ1NYmbiYn9mhLLr3IeZ8U1GiGEEEIIIYSIk4QYnbI0lmUNADoC79u2nW/b9qeWZX0GPGpZ\nVldgAWaS3SuBmaX1hxNCCCGEEEKImioRa+Jsjh4cZBxmhLfGIcvOBR4Gzgb+jZknbhLw2zjEKIQQ\nQgghhBDVIuFGp0xESqkNAFrrdjEUlwMqhBBCCCGEiOaYHJ1SCCGEEEIIIY5JksQJIYQQQgghRA0i\nSZwQQgghhBBC1CCSxAkhhBBCCCFEDSJJnBBCCCGEEELUIJLECSGEEEIIIUQNIkmcEEIIIYQQQtQg\nksQJIYQQQgghRA0iSZwQQgghhBBC1CCSxAkhhBBCCCFEDSJJnBBCCCGEEELUIJLECSGEEEIIIUQN\nklTdAQghhBBCCCFERS1cuJBp06aRnp6Ox+Nh165dNG7cmOuuu46MjIzqDq9SSRInhBBCCCGEqLG8\nXi8TJ04kJyeH+++/n0aNGhWve+GFF7j00kt55513SE1NrcYoK5dl23Z1x5DwlFIbALTW7WIoLgdU\nCCGEEEIkjEDA5q0vVzJr4WZ27Mmr7nCKNW2Yzmm9W3HxsM64XFa59lFYWMjYsWNp3rw5jz/++FHr\nbdtm6NChnH/++YwfP76iIVem8r1gh/SJE0IIIYQQohZ768uVTP1qVUIlcAA79uQx9atVvPXlynLv\n495772XHjh088MADYddblkXPnj357LPPyv0ciUiSOCGEEEIIIWqxWQs3V3cIUZU3vlmzZvHBBx9w\nxRVXkJ6eHrFcIBBg06ZN5Q0vIUkSJ4QQQgghhKhxXnnlFVJSUhg9enTUctnZ2aSlpUUtY9s2Dz/8\nMBdddFFlhlhlJIkTQgghhBCiFjutd6vqDiGq8sTn9XpZsGAB/fr1o169ehHL5ebmsmrVKo4//vio\n+7Msi169enHCCSeUOZbqIKNTCiGEEEIIUYtdPKwzQEIPbFJWe/fuxefz0alTp6jl3n//fQKBAMOG\nDSt1nwsWLGDgwIFljqU6SBInhBBCCCFELeZyWVw6vAuXDu9S3aFUmvr16+NyufB4PBHL7N+/n5de\neomsrCzOO++84mXPPvssPXr0YNmyZbRo0YJLL70UMPPMtWrViqlTp+Lz+bjkkkuwbZvXX3+drKws\nsrOzGTduHJZVoYElK4U0pxRCCCGEEELUKMnJyQwaNIh169YBZqqB559/nilTppCbm4tt29x1113s\n27ePCRMmFE/2fcsttzBy5EhGjBjBnj17aNq0KQB5eXkUFBRw4YUXcuGFF/LKK68AMGfOHLxeLyNG\njEBrTV5eYtRkSk2cEEIIIYQQosa5++67GTNmDNnZ2Xz77beMHTuWpKQknnjiCdatW8fXX3/Nfffd\nx5lnngnAkiVL2Lt3L926dQNg3bp13HHHHQAsXryYgQMHkpycjM/nIycnB5/PR4MGDZgyZQpLly5l\n3Lhx1KlTp9pebyhJ4oQQQgghhBA1Trt27Zg6dSrvvfceixYtQmtNcnIyH374IZZlMWnSJEaOHMna\ntWvp2LEjCxcupHfv3oCpucvPzyczMxOv14vWmp49ewImoVNKkZSURI8ePZg2bRofffQR9913H//9\n73+r8yUXkyROCCGEqCG8RX6ydxxgV24eB/OKcLks6qR5aNk4gxaNM3C7qr+fhhBCxFPz5s0ZP378\nEctWr17N5MmTyczM5McffyQrKwuAjIwMGjRoAMDMmTPp2rUrc+fOpW/fvqSnp5OZmQnAu+++y/XX\nX8+CBQt4+eWXmTx5MuPGjWPjxo3xfXFRSBInhBBCJLCtuw8yZ/EWFv66E52dSyBghy2XluKml2rK\n4JNaMqBbM9xu6fYuhDg2rV+/Hr/fT25uLm+//TZPPvkkACNGjODRRx/lk08+KW4WuXfvXjIyMhg+\nfDgvvfQS69evZ8CAAQwePJjt27czYMAApk+fzs6dO7ntttuq82UdwbLt8F8G4jCl1AYArXW7GIrL\nARVCCFEh/oDN/OXbmP7tWlas31Pm7Zs0TOcPZxzHWf3bSu2cEOKYc8opp+D1eikqKmLixImMGjWq\nukMKp0IfzlITJ4QQ4pi272Ahm3YcYM/+Agq9fgDqpHloWC+VNk0zSU+NPHx1ZSss8vP1gk1Mn7WG\nrbsPlXs/O/fk8e//LeGz7zdw/e97oto2rMQohRAisV188cW89NJLXHTRRYmawFWY1MTFQGrihBCi\n9rBtm5Ubcpm9eDMLft3B9pzIw0VbFrTIqkPHlvXp1rERfbo0pUmD9EqPaf8hL59+v56P565j30Fv\npe7b5bK4aJjiD0OPl1o5IYRIHBX6QE64JM6yrBnACtu2b4yh7DnAvUB3YBvwCvCgbdv+yoxJkjgh\nhKj5bNvmh1+28e7MVazZvK/c+2nbLJM+XZrSt2szOrdtUKG+Z+u37uOT79Yz6+fNxbWAVaVPl6bc\nfmnvuNYsCiGEiKj2JHGWZd0D3Ac8U1oSZ1nWaOA9YBbwX2AAcDkwybbtv1RmXJLECSFEzbZpxwGe\ne38pS9fsrtT9ZqR56KWa0LtLU7p3bETj+mlYVvTv5R178pi/fDtzl2wpV3+3unWS6dCiHg3qpmDb\nsDM3jzWb9+EtKj0JbNe8Lvdc1b9KahOFEEKUSc1P4izLcgMPAn/GJEH/jpbEWZblAdYBa4GhwZo3\ny7JeAi4GGti2XVBZ8UkSJ4QQNZNt23w5L5vnpy3F6wtU+fM1rJvC8W0a0LJxBg3rpZKanITfH2D/\nIS/bcg6xKnsvm3YcKMd+UxnatzWn9GxBh5b1jkoUC7w+fly2nWnfrGHd1ui1jA0yU7jnqv4c17pB\nmeMQQghRaWp2EmdZVgqwAOgKPIpJ5KLWxFmWNRz4BJPAzQpZ3h04H3jWtu1dlRWjJHFCCFHz+PwB\nnn1vKV/f+5+CAAAgAElEQVTOS5x5fcqqbbNMzjutE0NOaoUnqfRmm4GAzcyfsnn5o+UczC+KWC4t\nxc3fruxPz06NKzNcIYQQsavxo1OmAinASNu2P7Ms688xbDMQ8ALfAViWlQoU2ba9DFhWZZEKIYSo\nEQq8Ph5+bQELft0RU/mWjevQqkkmGekebPvwiJU7c/OrONLwenbK4rzTOtG7c5NSm2eGcrkszurf\nlpNUEx59ayHL1uaELZdf6GfCCz9yx2V9GNC9eWWFLYQQIk6qPYmzbXufZVmdbdsuSzuX44CdQHfL\nsiYD/YECy7JeBW62bbuwKmIVQgiR+LxFfh54eT6LV0dvkNGkQRq/HdyRISe1pGHd1LBl9h/ysmbT\nXhat2slPK3awZdfBqggZALfL4uSeLTjvtI4VbuqYVT+Nf4w7mcn/W8JX87PDlinyBXjw1Z+46cIT\nOaNPmwo9nxBCiPiq9uaUJVmWFaD05pSfAn0BF/AG8A0wBLgJeMe27UsqMyZpTimEEDWD3x/g/v/M\nj1oDl5Ls5uJhit8O7hhTE8VQ23Yf4qdft7NgxQ5+WZuDz1/xfnYN66YyfGA7zh7QNmIyWV62bTNt\n1hr+8/GKqOWuObc7owZ3rNTnFkIIEVWNb05ZHslAQ+BfISNRTrcsywZutizrn7ZtL6++8IQQQsSb\nbds8N+2XqAlcm2aZ/GVMX1o3zSzXczTPqsOowR0ZNbgj+YU+lq7exUK9E70xlw3b9hMIxHYfr2Xj\nDPp1a0a/rk3p0q5hhaYpiMayLM4//TiaNEzn0TcX4vOHj++F6cs4lFfE/w1TZWq+KYQQonrU1CQu\nODPrayWWvwHcgqmVi5rEWZY1Afh7LE/Wvn17XC5X+ScVEkIIUeU+mrOOz3/YEHH9icc15q7L+1ba\nPGlpKUn0796c/k6fsoJCH2s272XLrkPszM3jYJ6XwiI/SW4XaSlJNKqXSsvGGXRoWY9G9dIqJYZY\nDTqhJekpHh54ZX7EqQje+lJzIL+Iq0d1xyWTggshREKrqUncVuexZIeH4N+l3mK1bXsCMCGWJws2\npxRCCJGYVqzP4eWPIt+769u1KXeN7Vfm5pNlkZqSRPeOWXTvmFVlz1ERvTo34R/jBjLxxR85VOAL\nW+ajOes4lF/EjRecWGW1g0IIISqupn5C/+w8di6xvL3zuCmOsQghhKhG+w4W8vBrC/BHaMp44nGN\nuWts3ypN4GqKru0b8eANg6ifmRKxzNcLNvHQaz/FNHm4EEKI6lFTv9E+wEwxcGuJ5eOBAuDzuEck\nhBCiWjw/7Rf27C8Iu65Ns0z+MrYvniR3nKNKXO1b1OPhGwbRpEHkJp0/LtvOhBd+JPdA+OMqhBCi\netWI5pSWZQ0AOgLv27adb9v2Dsuy7gUesizrI+Bj4CzgPOBu27ZzqzFcIYQQcfL90q3MXrwl7LqM\nNA/3XNmfOmmV0weuNmnROIOHxw/m3ue/Z9OO8NMm/LJ2Nzc9OotbL+7Ficc3iXOEQghRdgsXLmTa\ntGmkp6fj8XjYtWsXjRs35rrrriMjI6O6w6tUiTjFgB8zxcBNIcv+A4wB2tu2nR2yfCxwG9AJyAYe\nt217SmXHJFMMCCFE4tl3sJDx//qGvQfDTw1671X96du1WZyjqln2HSxkwgs/sGZz5LG7LAvOP60T\nF56lSEupEfd+hRDHGK/Xy8SJE8nJyeH++++nUaNGxeteeOEFPvnkE9555x1SUyt3GpcKqtAIUgmX\nxCUiSeKEECLx/OuNBcxeFL4WbtTgDlxzbo84R1Qz5RUU8Y+X57FsbU7Ucg3rpjL2nC6c1qu1jF4p\nRA0TsAO8u+wT5mycx85D0f/X46lJnUYMbtufP3Q/B5dVvl5ehYWFjB07lubNm/P4448ftd62bYYO\nHcr555/P+PHjKxpyZarQB2lN7RMnhBDiGDZ/+faICVzzRnW4bESXOEdUc6WnephwzUD6lVJruWd/\nAY+/vYibHpvFjPkbZeATIWqQd5d9wnsrPk2oBA5g56Ec3lvxKe8u+6Tc+7j33nvZsWMHDzzwQNj1\nlmXRs2dPPvvss3I/RyKSJE4IIUSNUuTz8+IHy8Kusyy46f9OIjVZmv2VRYrHzd2X9+UPQ4+jtLm+\nN2zbz5NTF3Pl/V/y2qcr2LorfJ86IUTimLNxXnWHEFV545s1axYffPABV1xxBenp6RHLBQIBNm2q\nXYPXy7ecEEKIGuWjOevZlnMo7LrfDupAtw6Nwq4T0bndLsaM6ErPTlk8+tbP7D0Qvq9h0L6DXt6d\nuZp3Z66mW4dGnNm3Naec0FL6zQkh4uaVV14hJSWF0aNHRy2XnZ1NWlrkEXlrIqmJE0IIUWPsPVDI\n1Bk67LqmDdO57DfSjLKiTjy+CU/ddhoDusc+KMzydTk8OXUxYyZ8zlNTF7F8XQ7S516IxDG4bf/q\nDiGq8sTn9XpZsGAB/fr1o169ehHL5ebmsmrVKo4//viKhJhw5HaZEEKIGuPNL1aSV+ALu+6qUd1J\nlVqgStEgM5W/XtGfxat28uIHy9i4/UBM2xV4/Xw1P5uv5mfTIqsO5wxqz/AB7Uj2yDx9QlSnP3Q/\nByChBzYpq7179+Lz+ejUqVPUcu+//z6BQIBhw4aVN8yEJKNTxkBGpxRCiOq3fus+bn5sFoEwn7I9\nO2Vx/7UnY5XWoUuUmd8f4Kv52bz/zZqIzVijaVg3lct+05kz+rSRUS2FEJXG6/Vy4okncvXVV3Pr\nrbeGLbN//36GDx+Oy+Xi888/JyMjA9u2ef3118nKyiI7O5tx48ZhWRb5+fk899xztG/fni1btjB2\n7FgCgQDPPvssPXr0YNmyZbRo0YJLL720sl6CjE4phBCi9nv1kxVhEzjLgqtHd5cEroq43S6GD2zH\nc38Zyj1X9efE4xuXafs9+wt4cupi7nh6Dpt3xlajJ4QQpUlOTmbQoEGsW7cOMFMNPP/880yZMoXc\n3Fxs2+auu+5i3759TJgwoXiy7zlz5uD1ehkxYgRaa/Ly8gC4+eabOeOMMzj33HOZPXs2O3fu5JZb\nbmHkyJGMGDGCPXv20LRp02p7vSVJuxMhhBAJb+WGPSxcuTPsumH929K+ReT+EKJyuFwW/bo2o1/X\nZmzddZAZP2Uz86dN7NlfENP2OjuXmx//lmtG92BY/zaSdAshKuzuu+9mzJgxZGdn8+233zJ27FiS\nkpJ44oknWLduHV9//TX33XcfZ555ZvE2DRo0YMqUKSxdupRx48ZRp04dFixYwIEDBzjhhBMAePLJ\nJ9mxYwd79+6lW7duAKxbt4477rijWl5nOJLECSGESHhvfbEy7PK0lCQuGd45ztGIFo0zGDOiK5cM\n78IivZMZP2Uzb9k2fP7oPQoKvX6eeXcxC1fu4MYLTyIjzROniIUQtVG7du2YOnUq7733HosWLUJr\nTXJyMh9++CGWZTFp0iRGjhzJ2rVr6dixIwA9evRg2rRpfPTRR0ycOJGpU6eyZMkS+vTpU7zfZs2a\n8emnn9K7d2/A1PLl5+eTmZmJ1+slOTm5Wl5vKEnihBBCJLQV63NYtGpX2HXnndqRBpmpcY5IBLld\nFn26NKVPl6bsO1jIt4s2M2N+Nuu37o+63Q+/bGPTjgP8/eoBNGtUJ07RCiFqo+bNmzN+/Pgjlq1e\nvZrJkyeTmZnJjz/+SFZWFgALFizg5ZdfZvLkyYwbN46NGzcW76Ow8PC0Kj///DMFBQU0aNAAgJkz\nZ9K1a1fmzp1Lv379EiKJkz5xQgghElqkWrg6aR5GDekY52hEJPUyUhg1uCNP3noaE64ZQPsWdaOW\n37zzILc/NYdV2blxilAIcaxYv349fr+f3Nxc3n777eIRLFu1asWAAQOYPn06L774IrfddhsAZ599\nNocOHeKDDz5g+vTp+P1+xowZw86dO/nkk0+KJxLfu3cvdeokxo0nGZ0yBjI6pRBCVI9la3dz1+Tv\nwq67dHhnLjxLxTkiESt/wOaT79bx6scr8PoCEcsle9zcfmlvBnRvHsfohBC12SmnnILX66WoqIiJ\nEycyatSo6g4pHBmdUgghRO309pfhJ/bOTPfw28Ed4hyNKAu3y2LU4I48dsuptGseuVbOW+TnwVfm\nM2N+dhyjE0LUZhdffDF+v5+LLrooURO4CpOauBhITZwQQsTf6k253PrE7LDrxozowh+GHh/niER5\neYv8vPjhMj77fkPUcleP7s5oaSIrhDg2SE2cEEKI2uf9b9aEXZ6Znsw5p7SPczSiIpI9bq47v6cz\nn1/kci9+sIw3Pv8VucEshBDRSRInhBAi4WzbfYjvl24Nu27UkA6kp8rQ9DWNZVmMHtKRu8b2Jdnj\njlhu6lereH7aLwTCzewuhBACkCROCCFEApr+7RrCXcOnJLulFq6GG9ijBQ9cezJ1oswR9/F363n8\n7Z/x+SMPiCKEEMcySeKEEEIklH0HCyMOcjGsf1sy06t/fh5RMZ3bNeTB60+hfmZKxDKzft7MP1+Z\nT2GRP46RCSFEzSBJnBBCiITyyXfrww5J73JZMuhFLdK+RT0eHj+IJg3TI5b5acUOJrzwA3kFRXGM\nTAghEp8kcUIIIRJGYZGfj+euD7tu8AktaRrlgl/UPC2yMpg0fhCtm2ZGLLNsbQ53P/sd+w4WxjEy\nIYRIbJLECSGESBizf97MgTxv2HXnn94pztGIeGhUL42HbhjE8W3qRyyzdvM+7nxmDpt2HIhjZEII\nkbgkiRNCCJEQbNuOWAt34nGN6dCyXpwjEvFSt04y/xh3Mj07ZUUss2XXIW578lu+WxJ+1FIhhDiW\nSBInhBAiIaxYv4d1W/eFXTdqSIc4RyPiLT3Vw9+vHsDAHs0jlskv9PPQaz/x4gfLKPLJgCdCiGOX\nJHFCCCESwsdz14Vd3rxRHXp3bhrnaER1SPa4ufOyPgzt2zpquQ9mr+Xmx79lzaa9cYpMCCESiyRx\nQgghqt3uvfl8/8u2sOvOGdQel8uKc0SiurjdLm684CTOPTX6SKTZ2w9w21OzefPzlRSFGc1UCCFq\nM0nihBBCVLvPfthAIMzs3qnJbs7s2yb+AYlq5XJZXDWqO3+64EQ8SZEvVQIBm3e+0tz8+CxWbtgT\nxwiFEKJ6SRInhBCiWhX5/Hzx44aw607v05o6aZ74BiQSxrD+bZk0fnDUueTA1Mrd8cwcpry/VOaU\nE0IcEySJE0IIUa1++GUb+w6Gn1Zg5Cnt4xyNSDSdWtfniVtOpX+3ZlHL2TZ8/N16bpj0NfNXbI9T\ndEIIUT0SLomzLGuGZVlPlWO7mZZlhe8VL4QQImF98ePGsMtPOC6LNs3qxjkakYgy05P56xX9uOWi\nXtRJTYpadve+Av7x0jwmvb6A3AMFcYpQCCHiK6GSOMuy7gHOKMd2VwKnV35EQgghqtLWXQdZumZ3\n2HUjTpZaOHGYZVmc0ac1z9x+Br07Nym1/JzFW7j+4a+Z+VM2tn10f0shhKjJEiKJsyzLbVnWJOA+\noEyftJZlNQb+BRRWRWxCCCGqzpfzwtfC1c9MoV8pzefEsSmrfhp/v3oAt13Sm7p1kqOWPZhfxBPv\nLOKRNxZKXzkhRK1S7UmcZVkpwGLgNuARoKzjSD8DrAG+ruTQhBBCVKEiX4AZP2WHXXdWvzYkuav9\nK0okKMuyOK1XKybfcQan925VavnZi7dw02OzWL0pNw7RCSFE1UuEb8hUIAUYadv2HWXZ0LKskcC5\nwDWATBIjhBA1yLzlkQc0Gda/bZyjETVRvYwUbr24N/f9cWCpI1huz8njjqfnRBwJVQghapJqT+Js\n294HdLZt+7OybGdZVgYwGXjctu2lVRKcEEKIKvPFD+GbUp54fGOaNaoT52hETdZLNeHffz6dc0/t\nSLR54X1+m2feXcKz7y3B55d7v0KImqvakzgA27bL80n6EFAETKjcaIQQQlS1bbsPsXj1rrDrzh4g\ntXCi7FJTkrhqVHceuWkIbZtlRi376fcb+Ntz37PvoHSnF0LUTAmRxJWVZVkDgXHAdbZty/jBQghR\nw3w1P3wtXL2MZPp3ax7naERtclzrBjx686kMH9guarnl63K45YlvWbdlX3wCE0KISlTjkjjLspKA\nF4HPgIWWZTWyLCsL8AAu5++0GPYzwbIsO5afoqKitn6/v34VvzQhhDgm+PwBvpoffkCTM/u2wZNU\n476aahTbtmv9kPspHjc3/P4E7hzTh/Qo88rtys3n9qfnMGfxljhGJ4QQFRd9xszE1BLoAnQGwrXF\n2YmZqmBitJ3Ytj2BGJtiKqU2lCE+IYQQUcxfvp29B8I3Y5MBTSpPXlE+i7ctZ8XO1azLzWbXoRz2\nFx7ExsbjSqJ+Wj1aZDalQ4M29GzWhc5ZHXG73NUddqUadEJL2jWvy/0vz2fLroNhy3iL/Ex6fQEb\ntu3nkrM744rWqU4IIRJETUzitgNnhln+ANAWuARYH9eIhBBCxOyLH8M3pezZKYsWjTPiHE3tYts2\nq3LW8emqb1iwZQlFAV/YckUBH7sO5bDrUA5Ltq9g2q+fk5mSQe8WPRjUpi89mnbGsmpHMtOqSSaP\n3jSER95cyIJfd0Qs998Zq9i4bT+3XtyL9FRPHCMUQoiysxKtSYVlWQHgGdu2byzjdh8B3Wzb7lDZ\nMQVr4rTW7WIonlgHVAghEsjuvflcef+XhPvquePSPgw+qWX8g6olVu1ex1tLp7Ni1+oK76tlZjPO\nPu5UTm03gDRPaiVEV/38AZs3P/+Vd2dGPz6tm2bytyv6yQ0FIURVq9CdshrR8cCyrAGWZV0SS183\nIYQQieubhZvCJnCZ6ckM6NEs/gHVAge9h5g8/zX+NvNflZLAAWw5sJ2Xf57KtR/dxeuL32N33p5K\n2W91crssxozoyh2X9iHZE7nZ6KYdB7j58W+Zu0T6yQkhElciNqe0Obo2axwwBpgDhO8Nf3hbIYQQ\nCci2bWb+FP4j/PTerfAk1a7+WPEwf/NiXlz4NnsL9lfJ/vOLCvhIz+DTVV8zsE0ffqvOpH2D1lXy\nXPEy+KSWtGhch/v/M5/de/PDlskv9PHwawtYdkoOV43qJuemECLhJFxzykQkzSmFEKLiVm7Yw+1P\nzwm77slbT6NDy3pxjqjm8vq8vLjwHWZt+CHuz929iWKkGsqJzbrhctWIBj1h5R4o4KFXf2LF+ui1\njO2a1+XWi3vRvoWcn0KISlWh5pSSxMVAkjghhKi4Z95dHHZQk/Yt6vLUbadXQ0Q10+5De/jXd8+x\nPndTqWVTklLo2/IEejXvTqeGbclKb4jb5SavKJ/tB3exOmc9P21ZwvKdqwjYgTLFUT+1Lie36cOg\nNn3p0KBNjUzoinwBpkxbGnGwnaAkt8XFZ3fm/NM64XbXvNcphEhIksRVNUnihBCiYgq8Psbe9wV5\nBUePlnjN6O6MGtKxGqKqeZbt0Dz+w4scKAw/XH5QRnIdRnU+i7M6DqZOcnqp+z1YeIgfNv3M56u/\nYdP+bWWOq44njS6Nj6Nz4060rteclpnNyEpvWCMSO9u2+eyHDbwwfRk+f/REVrVtwK0X9ZJBT4QQ\nlUGSuKomSZwQQlTMrJ838+ibC49a7nZZvPr3s6mXkVINUdUctm3z6aqveX3J+6XWmJ3VcTAX9zw3\npuQt3PMs36n5dNU3LNz6C3YFvtKSXEk0TKtHo/QGNEprQMP0BjRKq0+j9AY0TKtPVnoD6qZm4rIS\nI9Fbs2kvD7/+E9tz8qKWS/a4GXtOF0ae0kHmlBNCVIQkcVVNkjghhKiYe6Z8z+JVu45aPqB7M/56\nRf9qiKjmKPR5mbLgTeZunB+1XNM6WVzb7zK6NTm+Up536/7tfLzqa77d8CNF/qJK2WdJbstFw7T6\nNK7TiPYN2tCxYVs6NmxLs4zG1TJP3aH8Ip767yK+X1p6bWSPjlnceOGJNGtUJw6RCSFqIUniqpok\ncUIIUX67cvO56oHwc8P99Yp+DOjePP5B1RA7D+XwyNzn2LB3c9RyJ7fpw7V9LyU1qfJrNPcXHODL\ntbP5fPUs9pfSjLOy1E3JoHNWJzo37kjnrE60a9CaJFd8Rog0o6hu4vnpv5BfGH6y9KDUZDdX/rYb\nwwe2qzWTowsh4kaSuKomSZwQQpTf1BmaNz5bedTyehnJvHLv2STJQBFhLd3+K0/88BIHvYcilrEs\ni0t7ns9INbTKkwivz8vc7AXM2TiPFTtXV6ipZVkluz0c16h9cWJ3XKP2pHuqdurYnXvyeHLqIpau\n2V1q2ROPa8yfLjyRJg3K3oRVCHHMkiSuqkkSJ4QQ5WPbNuMemsm23UcnIqOGdOCa0T2qIarEZts2\nH+kZvLl0GtG+ozOT63DTwKvo2axLHKMzduft4fvshSzatoxVu9dRFIheY1XZLMuieUYTmmU2oXlG\nExqm1SczpQ4Zyel43B5TJuT6KGDbBOxAhB+7uJ+hhYVlWbgs84ht8bPeyayFm/H5AWwsVwBcfnAF\nsKzg7348HujSoT7NslLxBfzOj++IR7sMI4CWJSl3WS7clhu3y/wkWW7cLlfx767iZc561+HySS73\n4W1DlzllklyH15X83eP24HF7SHYlmUe3hyRXktRKChGbCv2jJOJk30IIIWqJXzfsCZvAAZzZt02c\no0l8eUX5PDv/deZtXhS1XLv6rfjzoGtpUqdRnCI7UlZ6Q0Z1PotRnc/C6y9iTc569O51bNm/nS0H\ntrN1/w7yfQVV9vy2bbP1wA62HthRZc8Ryt0BYmnM+esB83OsCyZ0yS4PHndSib/N78UJYLhybg8e\nl3lMSUom2Z1MalIyKUkppLiTSQn93Z1cI0ZBFaKySRInhBCiyny9IPxcZh1a1pPJk0vI3ruFR797\nnm0Hd0YtN6htP8b1uYSUpOQ4RRZdsttD1ybH0zVkQBXbtskryicnL5c9+XvJycslx3nck59LTt5e\ncvJzyS+qukRPVJ8ifxFF/iIiNwSuXB63pzi5S3WnkJzkIdVJ8pKdZSlJyU6ZI39PDZMkpnlSSUtK\nJTUphSS3XCqLxCRnphBCiCrhLfIzd/GWsOuG9m0d52gS2+wN83h+wZt4o4wC6bJcjDnxd/zmuNMT\nvrmaZVnUSU6nTnI6beq3jFguryif3Yf2sD53E2tzN7I2ZwPrcrPxl3HicXFsCyaN0fqPlleSK4nU\npBTSklJITUoh1ZPq/J3q/J1CalIqaUkppDnrUp11aSHrgtumuJMT/v9X1AySxAkhhKgSC37dwaEw\nk3u7XRanntSqGiJKPIU+L68uepcZ6+ZGLZeZksGtJ19TadMHJIp0Txpt6rekTf2WnNp+AGCOydo9\nG1i5ey0rd61B56yTGjtRbXwBHwe9vkpLEC0sJ9EzCeDhZPDI5DDNk0JaUpp59KSSlpRGuieV1KRU\n0j2pxbWFUlN47JJ3XgghRJX4ZmH4ppS9OjeRyb2B9bmbePKHl0rt19WxQVtuO+WPZNVpGKfIqldK\nUvIRzTMDgQDZ+7aycvea4sRuT/7eao5SiPKxscn3FZg+o5Vwb8LjSjIJnSeN9KRUUp0ELz3JSfSc\nZC/Nk0q6J43UpBTSPWlHrUtNSsFlSd/CmkSSOCGEEJXuQJ6XBb+GT05O73VsN6UM2AE+1jN5+5cP\n8Af8Ucue1XEwl5/0h+IRF49FLpeLdg1a0a5BK4YfdxoABwoPsu3ATrYd2MnOQ7s54D3EQW8eh7yH\n8AcCzvQHZmRP2zZNUV2W5Ty6cLlch3931pmyzpZ2ANu2CWA7y+zikULNwBvJeNxJJLuTSbKSWLl+\nH8tW7yEQcEPABbYFtgvbdkHA/I5t0axhBv83TNGsUfSpCMo2cLgZXdMXCOC3/fidkTH9AT9+O9Lv\ngaOXBfz47PC/hyvvC/gpChRR5Pfh9XvNY6Co1HNaVK6igI+iwoOVModjqtMkND0pmOQFawNLJoOp\nIbWEaaQ5tYOpTvLocXukyWgcSBInhBCi0s1dshWf/+gr0bSUJPp1b1YNESWGPXl7+ff8V/hlh45a\nLtnt4Y99LmFIu/5xiqxmyUzJIDMlg+OzOlR3KMYJsHLjHh576+eIo7ECbD0AT72czZgRXRg9pCMu\nV+270A0EAngDRU4/NZPgef1FJtnwF+F1fkITQG9I2aKAz/m7iEK/F6/PPBb6Cin0eQ//7vcW/y0q\nR4GvkAJfIbnsq9B+3JbLSe6cJM9J/FKTDtcSphYng6E1hqGJoXlMcsUyLuyxSZI4IYQQlW5WhKaU\np/RsQYrn2PxSnr95Mc/99EapfWuaZTTmz6eMizogiEg8nds25MlbT+OlD5fxxY8bI5bz+QO8/NFy\nflqxg5svOqnWTRDucrlIdZk+X/EQsAMU+X0U+gop8Hvx+rwUHJHkOcmf83uBz4vX75QpTgoPJ4kF\n/kIKigqLmzzKfMpl57cDHPQeqpR+hMXNRYuTvbTiQWTSwjQZPSIZLLHeXcsSQpnsOwYy2bcQQsRu\ne84hrvnnjLDr7r/2ZE44rnGcI6peXn8Rry3+H1+umV1q2UFt+nJ174tIT06LQ2SiqsxfsZ2npy5m\n78HCqOXSUpIYO6ILw09uj7sW1srVdLZtU+QvosBnkroCXyH5RYVOjVXw74LidQXOusN/FxT/ne/U\nchVFGYFWVK1ktyd84hfrsuDvSamVNTdhhf7pJYmLgSRxQggRu6lfad74fOVRy7PqpfLS34bVyiZk\nkWzev40nv3+JjfvCT7UQlOZJ5epeFzG4Xb84RSaq2t4DhTzz7mLmLd9ealnVpgE3/OEEmTvxGOAL\n+Ck8ItEzCWG+73ANYIGvgPxgbWBRQXGiaH7PJ89XQEFRAXlSU1htUpxpJ8ImftESwOKBZ9JomF5f\nkriqJkmcEELExrZtrnv4a7bsOrqT/e9O78TlI7tVQ1TxZ9s2s9b/wMs/Ty21z45q1IE/DbiCJhlZ\ncYpOxItt28yYn80LH/xCfmH0AT/cLotzT+3I/w1TpCZLbxdROtu2KfR7j07ynBrAvKL8EutM4pdf\nlG1zMSwAACAASURBVE9BUSF5vvzi5dK3MP7+e+GzFUri5FNCCCFEpVm9aW/YBA7gtN7HxqiUXn8R\nzy94k9kb5kUt57Jc/L7bCM7rMrzW9dUQhmVZnNW/LT06ZfHYWz/z64Y9Ecv6AzbvfbOGuUu2cv3v\nTqBX5yZxjFTURJZ1eM65BlSsFtcf8Bc3D80ryneSwALyQxK9fF+BWVYiacz3FZpHJ0mUEUrjQ5I4\nIYQQlWbWz5vDLm/XvC7tmteNczTxtzd/H//6bgqrc9ZHLde4TiNuGnBl4oyuKKpUs0Z1ePCGQbz3\n9Wre+mIl/kDkRjs79uTx9xd+YMhJLbl6dHcaZKbGMVJxrHK73NRJTqdOcsUH2inyF4XU+oUmfcFa\nQpMM5jk1gsUJYcnHogJnuhARjiRxQgghKoXPH2D2ovBJ3OnHQC3chtxNPDz3WXLycqOWG9C6F9f2\nuVQGLznGuF0WF5x5PH27NuWZdxezKjv6hOWzF21h4cqdjD2nK2f3b3tM9SUVNZvH7cHj9lCXzArt\nJ3xz0Rh+D5MMFvgKa11CKEmcEEKISrF41S72HTy6X4Vlwam9avdw+ct3ruKhOZMp9EUejdDj9nDF\nSRcwtMMpMhHuMax9i3pM+tMQPv9+Pa9++iv5hb6IZQ/lFzH5f0uY+VM2N/xeBj4Rx5bKbC4asAMU\n+ryxJ4BRlhVE+ZyPJ0nihBBCVIpvIswN17NTFo3q1d5apyXbVzBp7nNRhw5vXbc5N598Na3rtYhj\nZCJRuV0W5wzqwIAezXl++i98v3Rb1PJ6Yy43P/4to4d05OJhitQUuXwToixclqt4ZEgq+HUUsANH\nTC9R5hrCogK8lTDVhHwKCCGEqLC8giJ+XBZ+KPXa3JRywZalPPb9C/gCkWtTBrTqxfX9x8Rt8mNR\nczSql8ZdY/sxf/l2nn1/Kbv35kcsGwjYTJu1hrlLtjDu3B707948jpEKIYJclot0Txrpnuq9OVkp\nM9UJIYQ4tv24bBveoqNHJEv2uBnYo3ZebC7etpxHv5sSNYH7fbcR3HzyVZLAiaj6dWvG5DvOYPSQ\njpTW9W1Xbj73/2c+9788j125kZM+IUTtJkmcEEKICvtmYfgBTQZ0a0Z6qifO0VS99bmbeOz7F/Db\ngbDr3S43Nw64kgu6/xaXJV+1onRpKUlcPbo7j958Kp1a1y+1/Lzl27l+0kymf7sGvz/8eSiEqL3k\nm0UIIUSF5OzLZ+nqXWHXnda7VZyjqXq7D+3hodn/jti53eNK4vZTxjGobd84RyZqg06t6vPIjUO4\n9rwepKdG7/VS4PXz0ofLueWJb1m5MfIcdEKI2keSOCGEEBUye9EWwk17VS8jmZNU7Zqw+JA3jwdn\nP0Nuwb6w65PdHu4cfD29WvSIc2SiNgkOfPLsnUMZfGLpI7uu37qfO56ew+T/LeFA3tEjxAohap+E\nS+Isy5phWdZTMZRLsizrPsuy1lmWVWhZ1gbLsh6wLKv2tdsRQogENitCU8rBJ7YkyZ1wXzPlZts2\n/573Kpv2hx9JMMmVxF8G30DPZl3iHJmorRrWTeWOy/pw3zUDadYo+iTMtg2f/bCBP/5zBh/NWYdP\nmlgKUasl1LerZVn3AGfEWPwZ4K/ATOBPwFfAX4DXqyY6IYQQJW3ctp91W8PXStW2USk/Xz2LBVuX\nRlx/Q/8xdG+q4hiROFb06tyEZ24/gwvOPJ4kd/SRTw7mF/H89F/40yPfsODXHXGKUAgRbwmRxFmW\n5bYsaxJwH5Q+nbplWQq4BvinbdvX2Lb9vG3b1wAPAH+wLOuEqo1YCCEERJ4brmXjOhwXw+AMNcW6\nPdn/z959x1d9nncf/9znaE80kISEJARi72022MYznk9ip3Yz7DRx2qZNR9omnU6TNqNPmqcjSRsn\nzaqd4b0HtsEGzN4bBEhoIiShvc+5nz8kCEa/gwRIv3OO9H2/XnqdcF+/39ElgnXOde5x8Yt9zwWM\nPzTrXpblaQ+cDJ3oSC+fuH0q//7na5gxIa3f68uqm/nqj7by+BNbKD3b5EKGIuKmoBdxxphoYC/w\n58D/Bfo5XBeAFb2PT142/kzv/TcMWoIiIuLI77e8t9t5KeXq+bkYM5Bf56Gvraudf9vy44CtBG4e\nv5x7ptziclYyUuVmJvLPv7+MP/n4XBLjovq9ftfRar7wf9fz38/v1345kWEk6EUcEANEAx+x1v7l\nAO95CpgDnLhsPL33MXDTHhERGRSHTtVS09DuGFs9b/icSvmT3b+hsrnaMTYhJZ9H5z04bApWCQ/G\nGG5amMd/ffkm1i7K6/d6v9/yyqbT2i8nMowEvYiz1jYAU6y1r1/FPa3W2gPW9mnQ83l6lmNuGcwc\nRUSkr0BLKaeOSyUrLd7lbIbGgbNH2VDs/JISGxHDF5d+hgjvlY+BFxkqSfFR/PGDc/nOF1cydVxq\nv9df2C/3x99Zz66j2i8nEs6CXsQBOBRjV80Y8yDwUeA1a+3h689KREQC6ejysXl/hWNszTDpDdfp\n6+JHO38ZMP65hQ+RlTDaxYxEnE3KS+FbX1jOX/zufNJHxfZ7fenZZh5/QvvlRMLZsPj40BizFvgp\nUAE8FtxsRESGvx2Hq2ht77tyPcJrWDa7/75W4eCFI28EXEa5pmCpDjKRkGKMYeXcsSyansUL753k\nmXdP0NHpu+I9u45Ws+fYu6xdnM/v3DKZtOT+C0ARCQ0hMRN3PYwxdwIvAi3AHdZa54+GRURk0ATq\nDTd/SiZJ8f0fthDqyhureP7Im46xlNhkPjX3oy5nJDIwMVERfHztZP77yzdx44L+23z4Lby5tYTP\nfeMdfv7aYVraulzIUkSuV1gXccaY+4DngFZgrbU2cAOfvvc+boyxA/nq6urK9/l8w+esbBGR69DQ\n3BGw/9SaAbxpDHXWWp7Y+RQ+v/MsxqPzHiQuUjMWEtrSkmP509+Zx3e+uJIp+Sn9Xt/Z5ePpd07w\n2X9exwvvnaSr+8qzeCISXGFbxBlj1gC/AhqBm621e67mfmvt49ZaM5CvyMjIEq/XWz8kP4iISJjZ\ntK8Cn79vS8/4mAgWTs0MQkaDa2fFfg6fu/zw4x7zs2eyKGeOyxmJXLtJeSl8+49W8KWHB7Zfrqm1\nix+/dJDPf/Md1u8qxe/w37qIBF9YFnHGmFHAL4EO4BZr7d4gpyQiMmIEOpVy2ewcoiK9LmczuHx+\nH7/c/6JjLDoims/M+7jaCUjYMcawat5YfvBXN/LwbVOIjur/v9Pq823861O7+eK/bmDLgUqsVTEn\nEkrC4mATY8wNwATgOWttG/BHQAbwKjDNGDPtslt2WWuPupymiMiwV3GumWMl5x1jq4fBqZTvFW+j\nrLHSMfax6XeSHt//Me4ioerCfrm1i/L45VvHWLethP4m2oorG/nnn26nMHcUn7htKnMnj9YHGSIh\nIBSLONv7danHgE8CG4EzwMrea+7o/brcXwAq4kREBtn6AAeajE6JZXpBmsvZDK7O7k6ePviKYywj\nPo3bJ652NyGRIZKWHMsXPjaHe1ZO4BevH2HLAecPLi5VVFrPPzyxhWkFqfzu7VOZOSHdhUxFJJCQ\nK+KstX3m+K21jwCPXPLnta4mJSIiWGvZsNt5KeXqeWPxeML70/k3ijZQ2+Y8y/jgjLuJ9Ea6nJHI\n0MrNTOSvP72Io8V1/OSVQxw+XdfvPYdP1/HX39/MnEmj+d3bpjA5X7PTIsEQckWciIiEpiPFdVTV\ntjrG1swP71MpWzpbef7wG46x/FFjWZa/wOWMRNwzZVwq3/zD5ew4fJafvnp4QA3A9x4/x97j51g0\nLYuHb5vC+JxkFzIVkQtUxImIyIAEWkpZmDuK3MxEl7MZXG8WvUdLV5tj7OFZ9+ExYXkOmMiAGWNY\nND2L+VMzWb+zlF+uO0Z1nfOHNpfafriK7YerWDY7m9+5ZTL5WUkuZCsiKuJERKRfXd0+Nu0td4yt\nCfMDTTq7O3nt+LuOsekZk5idNdXljESCx+sx3Lwoj1XzxrJuewm/Xnecusb2fu/bvK+CzfsqWDJz\nDA/cPInCsWqvKzKUVMSJiEi/dh45S3NbV59xj8ewck54F3Hvnv6Axo5mx9jvzLxHJ/HJiBQZ4eGO\npQXctDCP1z8o5pl3j9PQ3NnvfVsOVLLlQCXzp2Tw4M2TmVqgPXMiQ0FFnIiI9CvQUsp5kzMYlRjt\ncjaDp9vv4+Wj6xxj0zMmMSl9vMsZiYSW6Egv966awK035PPyxlM8t6GIFocPdC6362g1u45WM6sw\nnQdunsSswnR9ICIyiFTEiYjIFTW1drLjcJVjLNyXUm45s4tzrc4n8t079VaXsxEJXbHRETxw8yTu\nWFbAC+8V8dL7J2nr8PV73/6iGvYX1TAlP4UH105m/pQMFXMig0A7tUVE5Io27S2n29e3I3BsdASL\nZ4wJQkaDw2/9vHD0TcdYwahcZmVqL5zI5RJiI/nd26byxF+v5b7VhURFDOyt5NGS83z1R1v5k+++\nxwf7K/D312VcRK5IM3EiInJFgZZSLpuVTXRkn9aeYWNv5WFKGyocY/dOu1WzBSJXkJwQzaN3Tee+\n1RN48b2TvLr5NO2d/c/MnSpv4Bs/20HO6HjuXVXIjQtyiQrj3yMiwaKZOBERCaiypoUjxc7LDdcs\nCO+llG+cWO84npUwmsU5c13ORiQ8pSTG8OmPTOfHf3sLH187mfiYgc0PlJ9r4XvP7OMzX1/Hr9cd\no7Gl/0NTROS3VMSJiEhAG3aVOo6nj4plxvh0l7MZPFVN1eytOuwYu3vKWjwevTyKXI2k+Cgevm0K\nP/7bW/jkHVNJio8a0H31zR387xtHefTrb/Hfz++nqrZliDMVGR60nFJERBxZawMupVw9byweT/gu\nN3yr6H3H8YSoeFbmL3Y5G5HhIz42ko/dNIm7lo/nja0lPL/hBHWNHf3e19Hp45VNp3lt82mWzc7h\nvtUTmJib4kLGIuFJRZyIiDg6VnKeygCfiofzqZQd3Z2sP/2BY+zG8cuIihjYDIKIBBYTHcG9qyZw\nx9JxvL3jDM+8e4Jz59v6vc9vYePecjbuLWf6+DTuXjGexTPG4A3jD41EhoKKOBERcfRugKWUE8Ym\nk5eV5HI2g2dTyXZauvq+mTQYbpmwIggZiQxfUZFe7lhawC2L89mwq4zn3yviTFXTgO49dKqWQ6dq\nyUiJ5c5l47llcR4JcfqQRQRUxImIiIOubj+b9pY7xlbPy3U5m8FjreXNovccY3OzZ5CREL77/ERC\nWYTXw82L8rhpYS67jlbz3PoiDpysGdC91efb+Mkrh3jqraPcuCCXu5aPJzczcYgzFgltKuJERKSP\nnUfO0tTa1WfcY2DV3JwgZDQ4jteeorjeeZ/fbYWr3U1GZAQyxrBgaiYLpmZyovQ8z60v6ukbN4C2\ncR2dPl7/oJjXPyhm7qTR3L1yAvMmZ4T1/lyRa6UiTkRE+lgfYCnlnMkZpCTFuJzN4Fl3cqPjeFbC\naGZlTXE5G5GRbWJuCn/1yYVU1bbw4vsnWbf9DB0D6DUHsOf4OfYcP0d2ejy3Lx3HTQvzSNRSSxlB\nVMSJiMiHNLd2suPwWcfYmvnhu5SyraudbaV7HGO3FK7CY9RWQCQYstLieey+WfzOLVN4/YPTvLr5\nNOeb+j/REqCipoUfv3SIX7x2hOVzcrhj6Tgm5aVgjGbnZHhTESciIh+ycV8F3T5/n/HYaC83zMgK\nQkaDY0vpLjp8fRsKR3oiWF1wQxAyEpFLJcVH8eDaydy/ZiKb9pXz0sZTFJXWD+jezm4/7+4s5d2d\npYzPSeaOpeNYOXcssdF6qyvDk/5li4jIh7yz/Yzj+JKZ2cREhe/LxvrTWxzHF46dQ0JUvMvZiEgg\nkREe1szPZfW8sRwrOc9LG0+xeX8F/oFsnANOlTfwn0/v439ePsSa+bncvnQc+WF8oq6Ik/B9NRYR\nkUFXeraJY2fOO8ZuDOOllBVNZzlWc9IxtqZgicvZiMhAGGOYMi6VKeNSqalv47UPTvPGlhKaWvvO\nqDtpbe/m1c09yzOnjktl7aI8ls/J0eycDAv6VywiIhe9s8N5Fi4jJZaZheF7/P6GALNwabEpzMzQ\ngSYioS59VCyfvGMaD66dzHu7y3hl0ylOVzQO+P4jxXUcKa7jiRcPsGLOWNYuzmOy9s5JGFMRJyIi\nAPh8/oCnUt64IC9sj/H2+/28X7zNMbaqYDEejw40EQkX0ZFeblmcz9pFeRwrOc9rH5xm074Kurr7\n7uN10tbh461tJby1rYTczERuWZzPmvljSU6IHuLMRQaXijgREQF6juyua3Q+Ee6mheG7lHL/2SPU\ntTkfjrB6nJZSioSjS5dafubuGbyzo5Q3thRTWdsy4OcoPdvEj186yM9ePcTi6WO4eVEecyeNxuvV\nBzsS+lTEiYgIAG8HWEo5Y0IaWWnhe/BHoKWUU0dPJCsxw+VsRGSwJSdEc/+aQu5dNYG9J87xxpZi\nth2qGvBBKN0+y+b9FWzeX8GoxGhWzR3LjQtyKchO0nJLCVkq4kREhKbWTrYdrHKM3bQgz+VsBk97\nVzs7K/Y7xnSgicjw4vEY5k3OYN7kDGrq23hrWwnrtpVQ09A+4Oeob+rgxfdP8uL7J8nPSuw5JXP+\nWNKSY4cwc5GrpyJORER4f3eZY2+4mCgvy2ZnByGjwbGjfD+dvq4+49HeKG4YOzcIGYmIG9JHxfLQ\nrVN4cO1k9h6vZt22M2w7VEm3b2CzcwAlVU389NXD/Oy1w8wuHM2aBbksmTlGp1tKSNC/QhER4e2d\nzgeaLJudHdZvWDad2eE4Pj9nFjGRMS5nIyJu83oM86dkMn9KJg3NHazfVcpb285QerZpwM9hLew9\ncY69J87xg2e9LJk5htXzcpk1MZ0I7Z+TIAnfV2YRERkUJZWNFJU6H/xx88LwXUrZ2NHM/qrDjrHl\neQtdzkZEgi05IZp7VxVyz8oJHDtznre2lrBxbzntnb4BP0d7p4/1u8pYv6uMpPgols7KZuWcHKaN\nT8Mbpif4SnhSESciMsIFOtAkKy2O6ePTXM5m8Gwt3Y3P9l0iGh8Vx5ysaUHISERCgTGGKfmpTMlP\n5bP3zmTzvnLW7yrjwMka7MBXW9LY0skbW4p5Y0sxKYnRLJudzco5Y5mcnxK2LVkkfIRcEWeMeRs4\nbK394wFc+xDwFWA8cAr4mrX2N0OcoojIsNHt87Nhd5lj7KaFeWF9MtvmMzsdxxePnUuEN+Re/kQk\nCGKjI7h5UT43L8qn+nwr7+0uY/2uUkrPNl/V85xv6uCVTad5ZdNp0kfFsmJODivmZFM4dlRY/x6V\n0BVSr2LGmL8DbgSc1798+NqHgP8Fngf+HbgH+JUxpsta+/yQJioiMkzsPlpNfVPf3nDGwI3zw7c3\nXE1rHUfPFTnGtJRSRJxkpMTxsZsm8dEbJ3KyrIF3d5Xy/p4yGpo7r+p5aurbeH5DEc9vKGJMWjzL\nZmezZOYYJuaqoJPBExJFnDHGC3wD+BLQ70R27/XfAl621v6f3rEfARuAb9NT2ImISD8CLaWcVZhO\nRmqcy9kMng/O7MI6vJykxCQzbfTEIGQkIuHCGENh7igKc0fx6F3T2X2smvU7S9l2qIqu7r5LtK+k\nsraFZ949wTPvniA9OYYbZo5h6cxsphWkqqm4XJegF3HGmGhgJzAN+L/0FHL9WQ7kAJ+/MGCttcaY\n7wNPGWPmW2t3DUW+IiLDRUNzBzsOB+gNF8YHmgB8EGAp5ZK8+Xg8euMkIgMT4fWwaFoWi6Zl0dzW\nxZb9FWzcW86+opoBNxO/oKah/eKSy6T4KBZPz2LprGxmT0wnMsI7RD+BDFdBL+KAGCAa+Ii19nVj\nzECKuHn0zNjtuWx8N2B64yriRESu4L09ZY49k2KjI1gyc0wQMhoc1c01nDrvPMOopZQicq0SYiNZ\nuziftYvzaWju4IP9Fby/t5xDp2qv6kAU6DkUZd32M6zbfobY6AgWTs1kyawxzJucQVxM5ND8ADKs\nBL2Is9Y2GGOmWOtwhFhg2T232orLxit7H8N3I4eIiAustazb5lzorJiTQ0xU0F8ertnWsss/3+uR\nGZ/OhNR8l7MRkeEoOSGa25cWcPvSAmob2ti8v4KNe8o5WnL+qp+rraOb9/eW8/7eciK8hhkT0ntm\n/6ZnkRnGy9plaIXEq/RVFnAAiUDfnfjQ1vsYf30ZiYgMbydK6ymubHSM3bQwvD8H2xagiFucO1eH\nCojIoEtLjuXuFRO4e8UEquta2bSvnI17yykqa7jq5+r2WfYeP8fe4+f44QsHyMtKZNG0LBZOy2Ry\nfqp60clFIVHEXYNAGxouTGYPvGujiMgI9ObWEsfxsRkJTB2X6nI2g6e29Twnak87xm4YO8/lbERk\npMlIjeP+NRO5f81Eqmpb2HKgki0HKjlSXHdNz3emqokzVU088+4JEuOiWDA1g0XTs5g7KYP4WC27\nHMnCtYhromcf3eXiLolfkTHmceAfBvLNCgoK8Hg8V/9xiohICGpt7+L9Pc694W5ZnB/Ws1WBZuHS\n4lK0lFJEXJWVFs99qwu5b3UhtQ1tbDtUxZb9lew/efWHogA0tXayflcZ63eV4fUYphWkMW9KBvMm\nZ1CQnRTWv7vl6oVrEVcKGGNMprX27CXj2b2Pl++V68Na+zjw+EC+2eTJk4uvLj0RkdC1cW8F7Z19\nFyxEeA03LhimSynHaimliARPWnIsdywt4I6lBTS1drL9UBVbDlSy51g1nVfZtgDA57ccOFnDgZM1\n/OzVw6QkRjN3ck9BN2fSaJITnOY6ZDgJ1yJuDz2nUM4B3rxk/MKplbuDkZSISDh4a1ux4/jiGWPC\n+oW/vq2Bo+dOOsa0lFJEQkViXBQ3LczjpoV5tHV0s/toNVsOVLLr6Fma27qu6TnPN3Xw7s5S3t1Z\nijFQOHYU86ZkMH9yJpPyRqkn3TAUrkXcJqAa+AN6izjT8xHrHwAnrLXOH8WKiIxwpysaOH6m3jF2\n6+LwXm64vXxvwAbfk9ILgpCRiMiVxUZHsGx2NstmZ+Pz+TlSXMf2w2fZcbiKsurma3pOa3sOrzpR\nWs+v1x0nPjaSmRPSmD1xNLMK08nNTNTKhGEgLIo4Y8wNwATgOWttm7XWZ4z5a+AJY8yzwGvA/cDS\n3kcREXHwVoADTTJS45g9cbTL2QyuQEspF42dg8foU2gRCW1er4cZE9KZMSGdR++aTkVNMzsOn2X7\noSoOnarFdw376ABa2rrYerCKrQerAEhJjGZW4WhmT0xn1sTRamMQpkKxiLPQ56PUx4BPAhuBMwDW\n2v8xxniALwG3ASeAB6y1L7mYq4hI2Ojo8rF+d4ADTRbl4Qnjo6ubO1o4VH3CMbZ47FyXsxERuX7Z\n6QncszKBe1ZOoKWti93HqtlxuIqdR6ppau285uc939TBe3vKeK/3gKustLjfFnWFoxmVGL7L6keS\nkCvirLVeh7FHgEccxn8E/MiNvEREwt0H+ytocdhv4TFw86K8IGQ0eHZXHsTv0HI0MTqBqaMLg5CR\niMjgiY+NZMWcHFbMycHnt5wsq2f3sWp2H63mWEkd1zhJB0BVbStVtSW8ta1npUZ+ViKzJo5mekEa\n08ankpIYM0g/hQymkCviRERkaATqDbdgahZpybEuZzO4dlbsdxxfkD0Lr6fPZ4MiImHL6zFMykth\nUl4KH187mebWTvadqOkt6s5S09B+Xc9fUtVESVUTL288BUDO6Himj09n+vg0po9PIyMlVnvqQoCK\nOBGREaCsuolDp2odY7csDu9ZuC5fF/sqDzvGFuTMcjkbERF3JcRFXTwcxVpL6dmmi7N0B0/V0nUN\nLQwuVX6uhfJzLRdn6tJHxTK9II3pE9KYMT6NsRkJKuqCQEWciMgI8MYW51m41KQYFkzNdDmbwXWo\n+gRt3X0/eY70RjIrc2oQMhIRCQ5jDHlZSeRlJXHvqkI6unwcLa5j34lz7C+q4URp/TU1Gr9UTX3b\nh/bUJcVHMa0glanjUpmcn0ph7iiiI7UCYqipiBMRGebaO7t5Z8cZx9hNC3PDvn/Qzop9juOzMqcQ\nHRHlcjYiIqEjOtLL7ImjL54+3NrexcFTtT1F3Ykaiisbr/t7NLZ0fuj0ywivoSA7mSnjUpmSn8Lk\n/FQtwRwCKuJERIa5TXvLHRvIGgO33jDO/YQGkbWWXeUHHGMLc2a7nI2ISGiLi4lk0bQsFk3LAqC+\nqYMDRTXsK+op6iprW677e3T77MU+dS9v7BlLSYz+UFGn2brrpyJORGSYe+2DYsfx+VMyw74/0Onz\npdS2ne8zbjDMy54ZhIxERMLHqMRoVszNYcXcHACq61o5eKqWQ71f5eeureH45c43dbDlQCVbDlQC\nPYezFGQnMTE3hcLcUUzMHUVeZmLYrwxxk4o4EZFh7ETpeU6U1jvG7lxW4HI2gy/QqZSFaeMYFZPk\ncjYiIuEtIzWOG1PjuHFBLgDnm9o5fLruYlF3uqIBe31b6gDw+S1FZQ0UlTXAlp6xqEgvE3KSmZg7\n6mJhl52eENY9TIeSijgRkWHs9QCzcBmpccydnOFuMkNgZ7nzfjgtpRQRuX4piTEsm5XNslnZADS3\ndXG0+LdF3YnS83T7BqGqAzq7fBwpruNIcd3FsbiYCArHjrpY2I3PSSYrNV6FHSriRESGrebWTt7b\nU+4Yu+2GfLxh/iJY01JHcX2ZY2xBtloLiIgMtoTYSBZMzbx4qnFHl4/jZ85ztLiOYyXnOVpSR0Nz\n56B9v9b2bvYX1bC/qObiWGx0BAXZSYzPSWZ8djIFOcnkZyUSGTGy9tipiBMRGabe3VlKZ5evz3iE\n18PaRflByGhwBVpKmZUwmpykLJezEREZeaIjvcyckM7MCelAz2FTVbWtHC2p42hxHUdLzlNc2Xjd\nbQ0u1dbRzeHTdRw+/dsZO6/HkJuZ2FPYXSjuspNIiBu+JxSriBMRGYastQEPNFk2K5tRidHuuKDt\nFgAAIABJREFUJjQEdpY7F3ELsmfpKGsRkSAwxjAmPZ4x6fGsmd+zr669o5sTpfW9hV3PbF1jy+DN\n1kHPHrviykaKKxt5d2fpxfGM1DjGZyeRPyaJ/Kwk8rMSyR6dQMQwOECl3yLO9LwSfhaYDVQBW4Et\n1trBOa5GREQG3f6imoCnit2+dJy7yQyB1s42Dp077hhbkKOllCIioSImOoKZhenMLPztbN3ZulZO\nlNZT1NuKoKisnraO7kH/3tV1rVTXtV7sYQc9q1HGZiT0FHVjEsnPSiIvK5GMlLiw2ms3kJm4LwP3\nAMXAcuAfAGuM2QdsAjYCm6y1Z4cqSRERuTqvfXDacTw/K5FpBakuZzP49lYdwufvu1Q0ISqeyekT\ngpCRiIgMhDGGrLR4stLiWTGnp7WB328pP9dMUVn9xeLuZHmD45aA69Xt81+ctWPPb8djorzkZV0o\n6npm7XIzE0lLjgnJ1R0DKeKSrbU3XPiDMSYZWEFPQbcC+DwQaYw5SU9R9z7worW2b+MeEREZcufO\nt33oU8dL3bGsICRfjK7WzgrnBt/zxszA6xlZm9tFRMKdp3dPW25m4sVlmD6fnzNnmy4WdafKGzhd\n2TgkhR1Ae6eP42fqOX7mw215YqO95GQkMjYjgdzex7EZCYxJTyAyInjLMgdSxPmNMVHW2k4Aa20D\n8ErvF8aYGGAJvy3q/gNYCzw8JBmLiMgVvb7ltOMm8thoL6vnjQ1CRoPL7/ezr/KQY0xLKUVEhgev\n10NBdjIF2cncsrjnMC6f31JxrrmnoKto4FR5A6cqGgb1RMzLtXX4KOotJC/l8RjGpMUx9pLCbmxm\nImMzEkmIjRyyfC4YSBH3M+CrwFecgtbadmB97xfGGO8An1dERAZZR5ePN7aUOMZWz88lLmboX1iG\nWlFdMU2dLX3GvR4vs7OmBSEjERFxg/eSGbtVvR9KWmupa2zndEVjT1HXW9hV1vR9nRhMPUtAWyg/\n18K2yz5XTE6IIjs9gezR8Rcfc0YnMCYtnpjowSmT+n0Wa+0xY0ynMeYl4O+stc6dVX97vQ8YmnlO\nERG5og27ymhqdf5E8q7l413OZmjsCTALN210IbGRMS5nIyIiwWSMIS05lrTk2Iv96wBa27s4XdHI\nmapGSqqaKK5spKSykea2riHPqaG5k4bmDzcuvyA1KYac0Qn88x8su67vMZDTKf8M+EMgEbjTGNMA\nfMBvDzXZcWGppYiIBI+1llc2nXKMzZucQW5mossZDY09lQcdx+eOmeFyJiIiEqriYiKZPj6N6ePT\nLo5Zaznf1EFJZU9h11Pg9fzvjk535qDqGtupa2y/7ucZyHxevrU23RgTAcynZ+/bcuBPgX8G2o0x\nD1lrX7jubERE5JodOFnTc9qWg7tWDI9ZuPq2Bk6dP+MYUxEnIiJXYowhNSmG1KQY5k7OuDju91uq\nz7deLO5KKhsprW6ivLqZzm5/EDMObCBF3JPGmG8Be4F11tptwHcAjDFT6DnU5OjQpSgiIgPx0vvO\ns3A5o+OZd8mLVTjbW3XYcTwjPo3sxEzHmIiIyJV4PL9te7B4xpiL436/5Vx9G2XVTZSebaasuomy\n6p7HoTxMZSAGsiduuzFmB7AQmATUXBI7igo4EZGgq6ptYfth57YCH1k+PqwamF7J7isspRwOrRNE\nRCR0eDyGzNQ4MlPjmD/lwx8UNrZ0Ut5b0JX2PpadbeZsXQsOB0QPugEdj2KttcD2Ic5FRESu0aub\nT2MdXjTiYiK4cUGu+wkNgW6/j/1VRxxjWkopIiJuSoqPIqkglakFqR8a7+r2c7auhYqaFirONVNx\nroWKmmYqalqoqW9zfK2+FmoFICIS5to6ulm3zbmtwM2L8oZFWwGA4zWnaO1q6zMe6Y1kesakIGQk\nIiLyYZERnt7ecX0PE+vo8lFV00J9U8d1fx8VcSIiYe7dHWdoae/uM27M8GkrAIFPpZyRMYnoiCiX\nsxEREbk60ZFe8sckkT+m/2v747n+pxARkWDx+S0vBjjQZNG0LLLS4l3OaOgE6g+npZQiIjLSqIgT\nEQljWw9WUlnb4hgbTrNwNS11nGkod4zNHTPd5WxERESCS0WciEiYstby/Poix9i4MUnMmpjuckZD\nJ9AsXHZiJpkJo13ORkREJLhUxImIhKnDp+s4dua8Y+y+1YXD6sj9QPvhtJRSRERGopAo4owxhcaY\nl40x540xZ40x/2aMiR3AfV8yxpw0xnQYY44ZYx5zI18RkVDwXIBZuPTkGFbOzXE5m6HT5eviwFnn\nlqRaSikiIiNR0Is4Y8xoYAMwFfhH4IfA54Bf9XPfl4BvA/uAPwaOAT8wxjwylPmKiISC0rNNAZt7\n371yAhHeoP96HzRHzhXR4evsMx4dEc3U0YVByEhERCS4QqHFwJeAFGCStbYcwBhTDPzQGLPCWrsx\nwH1fAdZba+/v/fN/G2M2A18DfjLEOYuIBNXzG5xn4eJiIrj1hnyXsxlauwMspZyZOYVI7/DogSci\nInI1QuGj2geA1y8UcL1+CrT0xvronb1LAdZfFnoLGGOMSRmCPEVEQkJdYzvrd5U5xm5fMm7YNPe+\nINB+uHlaSikiIiNUUIu43mIrH9h96bi11gccAOYFuLUOaAQmXTY+HugAmgc3UxGR0PHKplN0+/x9\nxiO8hrtWDJ+2AgBVTdVUNlU7xuaoiBMRkREq2DNx2b2PTs1/KoFcp5t6i7y/Ah4wxnzeGJNvjPks\n8BDwn9bariHJVkQkyFrbu3jtg2LH2Kp5Y0lL7vdMqLASqLVAXnIO6XGpLmcjIiISGoK9Jy6x97HV\nIdYGxF/h3ueAe4DvXzL2Kj3FnYjIsPTm1hJa2pw/p7pv9fA75CNwawHNwomIyMgV7CKuv5lAn9Og\nMSYe2AzkAF8F9gCLgT8HfgN8bBBzFBEJCR1dvoAHmiyYmkl+VpLLGQ2tju5ODlUfd4ypP5yIiIxk\nwS7imnofndb/xF4Sv9wngQnAJ621T/aOvWSMOQU8YYy5x1r74pW+sTHmceAfBpJkQUEBHo+nYSDX\niogMlbe3lXC+qcMxdv+a4TcLd6j6GF3+7j7jcZGxTEofXnv/RERErkaw98Sd6X0c4xDLBioC3Dcd\n8ANPXzb+FGCBVf19Y2vt49ZaM5CvyMjIEq/XWz/An0lEZNB1dft5JkBz76njUpkxPs3ljIZeoNYC\ns7KmEuHxupyNiIhI6AhqEWetbQBKgDmXjhtjvMAMLju18hIdgAEufxW/8POYQUxTRCTo1u8qpaa+\nzTH24NpJGDO8fu1ZawMeajJPSylFRGSEC/ZMHMCzwF3GmJxLxh6h51CTXwW45x16cv/sZeOf6X3c\nMJgJiogEk8/n55l3TjjGCscmM29yhssZDb3ypirOtdQ6xuZkTXM5GxERkdAS7D1xAN+mZ4/b+8aY\n7wKZwJeA5621WwCMMTfQswfuOWttm7X2NWPM68B3jDHTgJ3AIuBR4J3+9sOJiISTjfsqqKxtcYw9\ncPPkYTcLB7CnwnkWbnxKHqNik13ORkREJLQEfSbOWltNzx62IuCb9MzC/QD4xCWXPQb8HBh9ydi9\nwLeAW4HvAbfQUxDeNfRZi4i4w++3/OZt5xMa87MSWTw9y+WM3LG3KlBrAS2lFBERCYWZOKy1R+gp\nxgLFH6GnuLt0rAv4294vEZFhaevBSkrPOh/U+8DNk/B4ht8sXFtXO4fPOR/iov5wIiIiITATJyIi\nzqy1/DrALFx2ejzLZuc4xsLdwepj+Px924QmRMVTmDrO/YRERERCjIo4EZEQtfVgJafKnVtUfuym\nSXiH4SwcwJ4K56WUs7Om4vHoZUtERESvhiIiIcjvtzz5xlHHWEZKLKvnj3U5I3dYa9lT5XyoifbD\niYiI9FARJyISgjbtK6ekynkv3EdvmkSEd3j++i5tqKC29XyfcYNRawEREZFew/NdgIhIGPP5/Dz1\npvMsXGZqHDcvzHM5I/fsDTALNyE1n6SYRJezERERCU0q4kREQsz6XWWUn3PuC/fxtZOJjBi+v7r3\nVDoXcXN0KqWIiMhFw/edgIhIGOrq9vPLdcccYzmj41kzTPfCAbR2tXE0QGuBedoPJyIicpGKOBGR\nEPL29hKq61odYw/dOgXvMN0LB3Dg7FF81t9nPDE6gfGpw3cJqYiIyNUavu8GRETCTGeXL2BfuPys\nRJYP075wFwRcSpk1DY/Ry5WIiMgFelUUEQkRr28pprah3TH28G1T8QzTvnDQ01pgb4Aibq72w4mI\niHyIijgRkRDQ0tbFr9c5z8IVjk3mhhlZLmfkrjMN5dS11fcZNxhmq7WAiIjIh6iIExEJAc+uP0FT\na6dj7OHbpmLM8J2Fg8BLKQvTxpEYneByNiIiIqFNRZyISJDV1Lfx4nsnHWNTx6Uyf0qGyxm5L1AR\nN1enUoqIiPShIk5EJMiefOMond19T2UEeOQj04f9LFxLZyvHapyLWO2HExER6UtFnIhIEJ2uaOCd\nnWccY0tmjmFqQarLGbnvwNmj+B1aCyRHJ1KQkhuEjEREREKbijgRkSD66auHsbbvuNdj+NSdI+NA\nj92VBx3HZ49RawEREREnenUUEQmSvcer2X202jF225Jx5Iwe/gd6XKm1wDzthxMREXGkIk5EJAj8\nfstPXjnsGIuN9vLxtZNdzig4iuvLqG9v7DNujGFW5tQgZCQiIhL6VMSJiATB+l2lnCpvcIz9nzUT\nGZUY7XJGwbEnwFLKSWnjSYiOdzkbERGR8KAiTkTEZa3tXfzsVedZuNSkaO5ZOcHljIIncGsBnUop\nIiISiIo4ERGX/ebt45xv6nCMPXzbVGKiI1zOKDiaO1s4XnvKMTYnS0WciIhIICriRERcVH6umRff\nd+6JNm5MEjctGDlH6u+vOop1OJpzVEwS41LGBiEjERGR8KAiTkTERT968SDdPoeeAsDn7puJ1zty\nfi0H2g83J2u6WguIiIhcgV4lRURcsuNwFTuPnHWMLZ+dzcwJ6S5nFDx+62dvlfO+wLnZWkopIiJy\nJSriRERc0NXt50cvOs88RUV6eeSukVW4FJ8vpcGhtYDHeNRaQEREpB8q4kREXPDyxpNU1LQ4xj56\n40QyUuJczii4dlUccByfnD6e+KiR9XchIiJytVTEiYgMsZr6Nn617phjLCMllvvXFLqcUfDtrgi8\nH05ERESuTEWciMgQ++ELB2jr8DnGHr17BtGRXpczCq7zbQ2cPF/iGJufPdPlbERERMKPijgRkSG0\n7WAlWw5UOsZmFaazdOYYlzMKvt0BllKOjkslNznb5WxERETCT0gUccaYQmPMy8aY88aYs8aYfzPG\nxA7gvjuNMduMMS3GmCJjzN8aY0bWR9oiErLaOrr5r+edCxavx/C5+2ZijHE5q+DbFaC1wPzsWSPy\n70NERORqRQQ7AWPMaGAD0A78I5AKfAkYB9xzhfvuAZ7tvfdPgRt6708AvjyEKYuIDMhTbx6lpr7N\nMXb/mkLys5Jczij4On1dHKg64hibp6WUIiIiAxL0Io6egi0FmGStLQcwxhQDPzTGrLDWbrz8BmNM\nJPCfwCbgVmutr/d6C3zRGPO4tbbdtZ9AROQyJ8vqeWnjKcdYVlocD9w8yeWMQsOh6mN0+Dr7jEdH\nRDM9Y2IQMhIREQk/obCc8gHg9QsFXK+fAi29MSc3AdnA470F3AXfBb4BJA5BniIiA+LzW773zD78\nfusY//37ZxMTFQqfoblvV7nz8tLZmVOJ9Ea6nI2IiEh4Cuq7CGNMCpAPPHHpuLXWZ4w5AMwLcOsS\noBPY3Ps8MUCXtfYg4LzZQkTEJa9tPs2J0nrH2Mo5OcybkuFyRqHBWsuuSuciTqdSioiIDFywZ+Iu\nHENW7hCrBHID3DcRqAZmGGO2AK1AkzHmB8aY6MFPU0RkYKpqW/j5a4cdY/ExEfzePTNczih0lNSX\nU9t6vs+4wTA3e+T+vYiIiFytYBdxF5Y9tjrE2oD4APeNAuKAt4HtwP3AfwGfA/5nkHMUERkQv9/y\n77/eS3unc0+4T31kOilJMS5nFTp2B5iFK0zNZ1TMyDvkRURE5FoFe1NGf0Wk8zshiKLnFMt/sdZe\nOInyhd6DTf7EGPPP1tpDg5WkiMhAvLG1mAMnaxxjU/JTuHVxvssZhZZd5fsdx3UqpYiIyNUJ9kxc\nU++jU0+42Evil7swc/fzy8b/FzDAyv6+sTHmcWOMHchXV1dXvs/nGzWQH0hERqaq2hZ+8rLzZ0eR\nER7++MG5eDwjtwdafXsjRXUljrH52bNczkZERCS8BbuIO9P7OMYhlg1UBLjvwvi5y8Yv/Lnf0ymt\ntY9ba81AviIjI0u8Xq/zKQUiMuL5/Zb/+E3gZZQP3TqF3MyRfWjunoqDWPqe1pkWl0L+qJwgZCQi\nIhK+glrEWWsbgBJgzqXjxhgvMAPYHeDWC+NTLhsv6H0sHawcRUT68+bWYvYXOS+jnJQ3ivtWTXA5\no9AT8FTKMTMxZuTOUIqIiFyLYM/EATwL3GWMufSj2EfoOdTkVwHueZGeFgN/dtn4F4B24I3BTlJE\nxElVbQs/ecV5GWWE18MXH5yL1xsKv2qDp9PXxf6qI44x7YcTERG5eqHwzuLb9Oxxe98Y8wVjzNeA\n/wCet9ZuATDG3GCMedgYEwtgrT0L/D1wtzHmZWPMY8aYZ4CPAl+11vY9w1pEZJD5fH7+9andtHUE\nWkY5mbwsnbp48OxR2rs7+oxHe6OYkTk5CBmJiIiEt6AXcdbaamAVUAR8k55ZuB8An7jkssfoOcRk\n9CX3/QvwKD3Nwr9Lz/LLP7DWfsudzEVkpHv63RMcKa5zjE3MHcX9qwtdzig0bS/b6zg+M2sqUd5I\nl7MREREJf8FuMQCAtfYIcOsV4o/QU9xdPv4z4GdDmJqIiKOjJXX88q1jjrEIr4cvflzLKAH8fj87\nK5xbCyzKme1yNiIiIsOD3mGIiFyl1vYuvvPkLvz+vqctAnzi9qnkaxklAMdqT9LY0dxn3GM8LFBr\nARERkWuiIk5E5Cr98IUDVNW2OsZmT0znXp1GedH2sn2O49NGTyQhOt7lbERERIYHFXEiIldh495y\n3tnh3MUkMS6SP/2deSO6qfelrLVsL3feD7do7BzHcREREemfijgRkQGqqm3he884zywB/NEDc0hL\njnUxo9BWUl/GuZZax9iCHC2lFBERuVYq4kREBqCr28e3frGTlrYux/gti/NZMjPb5axCW6BZuAkp\n+aTHpbqcjYiIyPChIk5EZAB+/NIhikrrHWPZ6fH83j0zXM4o9AXaD7dwrE6lFBERuR4q4kRE+rFx\nTzmvbj7tGPN6DH/+8Hxio0OiY0vIqGo+x5mGcseY9sOJiIhcHxVxIiJXUFbdxH88vSdg/JG7pjMp\nL8XFjMJDoAbf2YmZjE0a43I2IiIiw4uKOBGRANo7u/nWz3fS1uFzjC+ZOYa7V4x3OavwsCNAEadZ\nOBERkeunIk5ExIG1lh88u5/iykbHeFZaHF98cC7GqJ3A5erbGjhe67z8dFGOijgREZHrpSJORMTB\nSxtP8e5O535wkREe/uqTC4mPjXQ5q/Cws2I/FttnPDV2FONT84KQkYiIyPCiIk5E5DJ7j1fzPy8f\nChj/7L0zKRw7ysWMwsu2AEspF+TMwmP0siMiInK99GoqInKJqtoWvv2Lnfj9fWeSAFbNHcttN+S7\nnFX4aOpo5sDZo44xLaUUEREZHCriRER6tXV08/X/2UZTq3ND73FjkvjCx2ZrH9wVbC/bi9/6+4wn\nRMUzLWNSEDISEREZflTEiYgAfr/lu7/cTUlVk2M8MS6Kv3lkETHqB3dFW0p3O44vGjuHCI/X5WxE\nRESGJxVxIiLAk28eZcuBSseYx2P48qcWkJUW73JW4aWxo5mD1cccY0tz57ucjYiIyPClIk5ERrx1\n20r4zdvHA8Y/c/d0ZhWOdjGj8BRoKWViVDzTtZRSRERk0KiIE5ERbe/xar73zL6A8ZsW5nLXcjX0\nHogtpbscxxePnYtXSylFREQGjYo4ERmxSiob+cbPduALcBLl5LwU/uD/6CCTgWhsbwq4lHJJnpZS\nioiIDCYVcSIyItU1tvPVH2+ltb3bMZ6REsvfPLqIqEjNIA3EtrK9WNu3GE6KTmDa6IlByEhERGT4\nUhEnIiNOa3sXX/vxVs6db3OMx8dE8A+/dwMpiTEuZxa+Pijd6TiupZQiIiKDT0WciIwoXd0+/ukn\n2ykqa3CMez2Gr3x6EXlZSS5nFr7qWus5XH3CMbZEp1KKiIgMOhVxIjJi+PyWf/nfXewvqgl4zR89\nMIfZE3US5dXYfGYnlr5LKZOjE7WUUkREZAioiBOREcFay/ef2RewFxzAx9dO5qaFeS5mNTxsKtnu\nOL40bwEej15mREREBpteXUVkRPj5a0d4a1tJwPiNC3J56NbJLmY0PJQ1VnK6vtQxtiJ/kcvZiIiI\njAwq4kRk2Hv23RM8867zni2ARdOy+KMH5qiVwDXYVLLDcTwzYTQTUvNdzkZERGRkUBEnIsPaC++d\n5KevHg4Ynz4+jb/85AIivPp1eLWstWwOUMStyF+oolhERGSI6F2LiAxbL288xY9fOhgwXpCdxN89\nupho9YK7JidqT3O2xfmQmOVaSikiIjJkQqKIM8YUGmNeNsacN8acNcb8mzEm9iqf4x1jzKmhylFE\nwsvrH5zmhy8cCBgfkx7PVz+3hPjYSBezGl42BjjQZEJKPtmJmS5nIyIiMnJEBDsBY8xoYAPQDvwj\nkAp8CRgH3DPA53gUWAMUD0WOIhJe3txawvef3R8wnpYcwz9+bomaeV+Hbl83H5Tucowtz1/ocjYi\nIiIjS9CLOHoKthRgkrW2HMAYUwz80Bizwlq78Uo39xaB/wJ0DHWiIhL63thSzPef3RcwnpoUzT/9\n/jKy0uLdS2oY2l15kKaO5j7jxhiW5i0IQkYiIiIjRygsp3wAeP1CAdfrp0BLb6w//wkUAe8Ofmoi\nEk5efP8k33tmH7Zv32kARiVG8/XPLyNndIK7iQ1DG05vcRyfmTGFlNhkl7MREREZWYJaxBljUoB8\nYPel49ZaH3AAmNfP/R8B7gU+C/iHKE0RCQO/fvsYP3ox8CEmyQlRfP3zS8nNTHQxq+Gpvr2R3ZXO\nf9erC5a4nI2IiMjIE+yZuOzex3KHWCWQG+hGY0wC8H3gu9bawJtfRGRYs9by89cO87+vHw14TWJc\nJF97bCn5WUkuZjZ8bSzejt/2/dwsLjKWRTmzg5CRiIjIyBLsPXEXPhJvdYi1AVfatPJNoAt4fJBz\nEpEw4fdbnnjxAK9sOh3wmqT4KL722FIKsrXEbzBYa9lw+gPH2NK8BURFRLmckYiIyMgT7CKuv5lA\nn9OgMWYJ8Bhwp7W2fdCzEpGQ19Xt47u/3MPGvU4T+T1SEqP5+ueXkqcZuEFz6vwZShsrHWNrtJRS\nRETEFcFeTtnU++jUEy72kvhFxpgI4EfA68AuY0yaMSYdiAQ8vX/ut8ecMeZxY4wdyFdXV1e+z+cb\nde0/pogMptb2Lh5/YusVC7jRKbF88wvLVcANsvUBZuFykrIoTB3nbjIiIiIjVLCLuDO9j2McYtlA\nhcN4DjAVuBM41/tVDdwC5PX+77/o7xtbax+31pqBfEVGRpZ4vd76a/j5RGSQ1TW285XvbWZ/UU3A\na8akxfPNP1hOdrpOoRxMnd2dbD6z0zG2pmAJxhiXMxIRERmZgrqc0lrbYIwpAeZcOm6M8QIzgJ84\n3FYF3Oww/k/0nHT5MBB4g4yIhK3yc838/Q+3UF3ntI22R25mAl97bClpyf1OyMtV2lq2h5bOvn/3\nHuNhZf7iIGQkIiIyMgV7TxzAs8DnjTE5l/SKe4SeQ01+dfnF1toOHHrCGWNqgExr7fqhTFZEgmN/\n0Tm+8dMdNLd1Bbxmcn4Kf/+ZG0iK1+EaQ2Fd0fuO43PGTGeUesOJiIi4JhSKuG8DnwTeN8Z8F8gE\nvgQ8b63dAmCMuQGYADxnrW0LWqYiEhRvbSvh+8/sw+cP0MUbWDgtk7/8xAJiokLh19rwc6a+nGO1\npxxjN49f7nI2IiIiI1vQ3+1Ya6uNMauA/0dP24B64AfA31xy2WP0FHob+e0+OsenG6o8RcR9Pr/l\n568e5rkNRVe8bu2iPP7wo7PxeoO9zXf4Wndyo+N4WlwK88bMcDkbERGRkS3oRRyAtfYIcOsV4o/Q\ns8TySs9x12DnJSLB09rexb8+tZtth6queN2DN0/i4dum6FCNIdTe1c77xdscYzeNX47Ho+JZRETE\nTSFRxImIXKriXDNf/8l2Ss/26TJykcdj+P37Z3HbknHuJTZCbT6zk7buvi05PcbDjeOXBiEjERGR\nkU1FnIiElB2Hq/jOk7toae8OeE18TARf/tRC5kzKcDGzkSvQUsoF2bNIjVULTREREbepiBORkOD3\nW37zznGeevMo9gq7W8ekxfN3n1lMbmaie8mNYEW1xZw677wVeW3hCpezEREREVARJyIhoLm1k//3\nqz397n+bPj6Nr3xqIckJ0S5lJq8ef8dxPDM+nZmZU1zORkREREBFnIgE2bGSOr79i51Un79y95Bb\nFufz+ftnEhnhdSkzqWutZ2vpbsfYzRNW4DE60ERERCQYVMSJSFBYa3lp4yl++sohun2B109GeA2P\n3acDTILhzaL38Fl/n/EobyQ3jV8WhIxEREQEVMSJSBA0tXbybwNYPpmSGM1XPrWIqQWpLmUmF3R2\nd/J2gANNVo27gYToeJczEhERkQtUxImIq/YdP8d3f7Wb2oa+R9Zfakp+Cl/+1ELSkmNdykwutbFk\nO02dLY6x2yetcTkbERERuZSKOBFxRWeXj5+/doQX3z/Z77V3rxzPp++cTmSE9lwFg7WW146/6xib\nnTWNsUljXM5IRERELqUiTkSG3OmKBr7z5C5KqgI374ae/m9f/Pg8lsxUkRBM+88eobRKQhvfAAAg\nAElEQVSx0jF256QbXc5GRERELqciTkSGjN9veWnjSX726hG6fX0PyLhUYe4o/uoTC8hK016rYHvh\nyJuO49mJmczKmupyNiIiInI5FXEiMiQqzjXzH0/v5eDJ2n6vvXvFeD79kWlqHxACjtec4lD1ccfY\nHZPWqK2AiIhICFARJyKDyufz8+L7p3jyjSN0dl959i01KZovPjiPeVMyXMpO+hNoFi4pOoFV45a4\nnI2IiIg4UREnIoOmuLKRf//1Hk6U1vd77ZKZY/jCx+aQFB/lQmYyEGfqy9lZsd8xdsekG4mO0P9X\nIiIioUBFnIhct65uP0+/c5yn3zl+xcbdALHRXj5370xuWpiHMcalDGUgXjj6luN4bEQMtxaucjkb\nERERCURFnIhclwNFNfzguf2Unr3yyZMAU8el8mcPzdPhJSGourmGD87sdIzdUriS+Kg4lzMSERGR\nQFTEicg1qWts5ycvH2LD7rJ+r42K8PDwbVO4Z+UEvF4djBGKnj38On7bdw9jpCdCbQVERERCjIo4\nEbkqPp+fVzef5sk3j9La3t3v9dPHp/FHD8whZ3SCC9nJtahsqua94q2OsTUFSxkVm+xyRiIiInIl\nKuJEZMAOn67lv57bz+mKxn6vjY328umPTOe2G8bh8WjvWyh7+tCrjrNwXuPh7ilrg5CRiIiIXImK\nOBHp19m6Vn726mE27i0f0PXzpmTwhx+dTUaK9lGFurKGSjaX7HCMrSlYSkZCussZiYiISH9UxIlI\nQC1tXTz9znFe2niKrn56vgGkJEbz6N0zWDU3RydPhonfHHwFS98TRSM8Edw//fYgZCQiIiL9UREn\nIn34fH7e3FbCk28cpbGls9/rPR7DR5YX8NAtU4iPjXQhQxkMxedL2Vq22zG2dsIK0uNSXc5IRERE\nBkJFnIhcZK1l68EqfvH6kQG1DACYVpDK5++fRUG2Dr8IJ9Za/nff846xKG8k90291eWMREREZKBU\nxIkI1lr2Hj/HL14/wonS+gHdk5wQxSMfmc6NC3K1dDIM7a06xP6zRxxjt01crRMpRUREQpiKOJER\n7sjpOn7x+hEOnKwZ0PURXg93rxjPx26eRIKWToYln9/Hz/c+6xiLiYjm7im3uJyRiIiIXA0VcSIj\nVFFZPU+9eZQdh88O+J5ls7P59J3TyEqLH8LMZKi9c2oT5Y1VjrH7pt5GUrR6+omIiIQyFXEiI8zR\n4jp+/fZxdh4ZePE2KW8Un7l7BtMK0oYwM3FDa2cbvzn4imMsPS6VOyfd6HJGIiIicrVUxImMEAdO\n1vDrdcfYd2JgyyYBMlLj+MTtU1k5J0cNu4eJZw+/RmNHs2PsoVn3EBUR5XJGIiIicrVCoogzxhQC\n3wWWA53Ar4AvW2vbrnBPBPB3wCeAHKASeBJ43FrbNeRJi4QBay27j1Xz9DsnOHSqdsD3pSZF8+Da\nyaxdlE9khGcIMxQ3nakv59Xj7zrGClPHsTRvgcsZiYiIyLUIehFnjBkNbADagX8EUoEvAeOAe65w\n638Cvwf8BNgBLAS+DEwAPj5kCYuEga5uP+/vKeP5DUWUVA2sVQBAYlwkH71xIncsKyAmKui/HmQQ\n+a2fJ3b9Er91btr+yTkfxWNUsIuIiISDUHiX9iUgBZhkrS0HMMYUAz80xqyw1m68/AZjzGTgs8A/\nWWv/vnf4h8aYSuBvjDHfsNbucyd9kdDR0tbFG1uKeWnjKeoa2wd8X2y0l7tXTuC+VYVq1j1MbTi9\nhWM1Jx1jS3PnM2X0BJczEhERkWsVCkXcA8DrFwq4Xj+lZ3nlA0CfIg5Y0fv45GXjzwB/C9wAqIiT\nEaOipplXN59m3bYztHV0D/i+uJgI7lo+nrtXTiApXnuhhqvGjuaAjb1jI2L45NyPupyRiIiIXI+g\nFnHGmBQgH3ji0nFrrc8YcwCYF+DWp4BtwInLxtN7Hwf+LlYkTPn9PfvdXtl0il1Hq6/q3sS4SO5Z\nOYE7l49Xr7cR4Od7n6G5s8Ux9uDMu0iNHeVyRiIiInI9gj0Tl937WO4QqwQWOd1krW0FDjiEPg9Y\nYMugZCcSgppbO3l7xxle3XyaqtrWq7p3VEI0962ewG1LxhEXo+JtJNhZvo/3i7c5xgpG5XJr4SqX\nMxIREZHrFewiLrH30emdaBsw4I7CxpgHgY8Cr1prDw9CbiIhpaisnje2FLN+VxmdXb6rujc7PZ57\nVxdy44JcoiO9Q5OghJymjmb+e+dTjjGD4bMLHsLr0b8HERGRcBPsIq6/o9AG9E7VGLOWnn10FcBj\n15mTSMhobu1kw+4y1m07w6mKhqu+f+q4VO5bXcii6Vl41edtxPnx7l/T0N7oGFtbuILCtHHuJiQi\nIiKDIthF3IWzz2MdYrGXxAMyxtwJPA20AHfY/9/enUfHddZ5Gn9eSbZlW5It2ZYs2YrXxPGSxHYS\nJ8SOTQIEhgnTA0yHE4ahCTCBE+imadJ92BrSdJ9ulpkB0jRhAh3ohgOZzEASGHYaPNlXOzhO4sRO\n4sixLG+yZFmWrKXe+aNKpiyXdqlKJT2fc+rc0r33fe9PTuqe+ure+74x1o9eeVL2JRKRnS8d4VeP\n1PHQ0/V0dmUeEr4vIcDla6p565blrFxSMUZVarx7ZN82Hqp7IuO2yplzeNeFb81yRZIkabTkOsTV\npZbVGbbVkLyy1qcQwltJTgzeArwhxrhjsAcOIdwCfHYw+y5ZsoSCgoKhXwaRhuDQsZP87sl9/Oax\nuiE/6wbJwUquuWwRb3rNYubPGfSdyJqADrce5X8+/r0+t9+04d0UTynOYkWSJGk05TTExRibQwiv\nAGvT14cQCoE1JCfyziiEcBXJAHecZIB7aojHvgW4ZTD7rlixYu9Q+pYG68TJDh7cUc/Wba+y88Wj\nw+pj6YJZvGXTEq5ct9Dn3URXopuvPPzPtHa2Zdz+5nOvYlXleVmuSpIkjaZcX4kD+CHwwRDCgrS5\n4m4gOajJnZkahBBmAz8ATgHXDDXASbnU0dnNE88dZOu2V3n82YN0dQ/tdkmAosLAxgsXcO2mJaxY\nVE4IPu+mpDufvpfdR1/OuK26pJLrL/yPWa5IkiSNtvEQ4r4IvBu4L4TwZaAKuBm4O8b4MEAI4XJg\nGfCjGGMb8KdAJfBTYFUIYVWvPp+MMe7K1i8gDaSrO8GOPUd44Kn9PLSjntb24U1lWDN3Jq/fcA6v\nv/Qcysu8HU5n2la/kx/v+nXGbYWhgA9d9idMK3JSd0mS8l3OQ1yM8VAIYQvwFeDzQBNwG/CptN0+\nQDLo3U/yObrNJOeDe3Pq1dtfAoY45VRnV4Idew7z4O/reWTnAVpOdg6rn6lTCtl0UQ1v2HAOq5fO\n8aqbMmpoOcQ/PtrnHehcf+Efcd7cpVmsSJIkjZWchziAGONzwBv72X4DyVsse35+Qzbqkoaqs6ub\np144zIM76nlkZwOtbcMLbgDLa2dzzYZz2LxuITOnOzG3+nayo40vPHAbrR2ZB8RZV72aa1e8PstV\nSZKksTIuQpyUz463dvDkroM8+kwD23Ydou3U8G6VBKgom8bmdQu5+pJaltTMGsUqNVElEglufeQO\n9h9vyLi9fPosPnTZeygIA03LKUmS8oUhThqGVw+18NgzB3ns2Qaee/koiTj8vqZPK+KKC6u5an0t\na5bPdVJuDcn3n76HbQd2ZtxWEAr4yOXvo2xaSZarkiRJY8kQJw1CV3eC5/Y28tgzDTz+bAP7D7eO\nqL/CgsAlK6vYsn4hG1bPd2oADcvPXvhtnwOZANyw7jpWVZ6bxYokSVI2GOKkPjQcbWXb84fYtusQ\nO/YcGdFtkpAMbhedN4+NF9Zw+ZpqymY6SqCG74FXHuc72/93n9tfv+xKrlm+OYsVSZKkbDHESSkn\n2zvZsecI258/xPbnD3Pg6MiutkFyPre151Wy8cIaLlszn9IZBjeN3O8bnuWfHvuXPrevmncu713/\nDkcylSRpgjLEadLq7Ormhbomduw5wu93H2bX3ka6R/JwW8rUogIuOm8emy6qYcOq+ZQY3DSKdh7c\nxZce+Abdie6M26tmzuUvNt5IUYG36EqSNFEZ4jRpdHYleKHuGDtfPMKOPUfYtbeRjq7EqPQ9u3Qa\nl66s4rLV87novHkUT/WjpdH39MFdfOH+r9PRnXnqilnFZXzqtX/mQCaSJE1wftPUhNXR2c2eV5vY\n+eJRnt5zhGf3NtLRmfnqxXAsri5jw+r5bFhVxbm15RQ4qqTG0I6G5/jCA7fR2UeAm15UzCc3f5j5\nJfOyXJkkSco2Q5wmjGMt7eza28izLzeya28je15tpqt7dK60AUydUsiaZXO4dGUVl66aT1XFjFHr\nW+rPI/u2cesj36YrkXlwnaKCIv5y0wdZUl6b5cokSVIuGOKUl7oTkbqG4+za28hzqVfD0ZOjfpzF\n1WWsW1HJ+hXzWLVkDlOdCkBZ9ovdW/n2truIZH5es7CgkL+44v2sqVqR5cokSVKuGOI07sUYOdrc\nzu59x9i9r4nddU28sO8YJ9tHNuR/JrNKprL23ErWnz+PtedVUlFWPOrHkAYjERP8YMe93LvrV33u\nU1hQyMeuuJFLFlyYxcokSVKuGeI07jSfOJUMa/uaTge3ppZTY3KsGcVFrF46hwuWzeWC5XNZWjPL\nZ9uUcyc72rj10W+zrf7pPvcpKijiYxtv5OKaC7JYmSRJGg8MccqZGCONx9t5uf44L9c3s+fVJvbs\na+LQsbYxO+b0aemhbQ5LF8ym0NCmcWT/8Qa+9MA3qG852Oc+0wqn8rGNN7K2enUWK5MkSeOFIU5Z\n0dWd4NVDJ3i5vpmX9jezt/44L9U3c7y1Y0yPWzpjCucvrmD1kjlcsHwuyxbMorCwYEyPKQ3X/Xsf\n41tP/oC2rvY+9ymbVsLHr/wQy+cszl5hkiRpXDHEaVT1PL9W19BC3cEWXjmQDGt1DS2jOlJkX2qr\nSjh/UQUrF1dw/uIKFlaWEIJX2jS+tXW2889P3sl9rzza735VM+fyqS1/yvzSyixVJkmSxiNDnIYl\nxsiRpnb2HWyh7uDx06Ft38GWMRlwJJOpUwo575zZrFycDG0rFlVQNnNqVo4tjZZnDr3ANx7/HgdP\nHO53v/PnLuNjG29kVnFZliqTJEnjlSFO/erqTnCw8ST7D59g/6ETqdCW3bAGUFAQWDS/lHNryzm3\ndjbLa2ezuLqMIm+NVJ462dHG93bczW9evH/Afa9Zvpn3rP1jigo9ZUuSJEOc+MMtkPsPn6D+8An2\nH249/b6h8SSJROb5qcZKCLBgXgnn1s4+HdqWLJjFNOdo0wQQY+TBusf57u9/xLG25n73LSoo4n3r\n38Hrlm3KUnWSJCkfGOImie7uBIeb2jh49CQNja0cbDxJ/ZFW6g+foP5IK6c6unNSV2FBoLaqlCU1\nZSypmcXyhbNZtnAWM4qn5KQeaSy91FjHt7ffxfNHXhxw35rSKj7ymvexpLw2C5VJkqR8YoibIGKM\nHG/toOFoMqA1HD2ZWiZ/PtzUlvUrar2VTJ/C0gWzWFxTxtKaWSypmUVtVQlTirzCpontQMsh7tr5\nEx6qe5LIwJ/Dq5du5D3r/pjiomlZqE6SJOUbQ1ye6OpO0NjczuGmNg43tXGkqY3Dx05ypKmdQ8eS\nYa09R1fTeptSVEBtZSm1VaWcM7+UxdXJq2xzZxc7UqQmlYYTh7nnuV+y9eWHScSBR2edXVzG+y++\nng0L12ahOkmSlK8MceNAIpG8inakuY3Dx1IB7XRIS74/drydHF9IO8vUogIWViaDWk9gO2d+KVUV\nM51AW5Pay8f2ce9zv+ThV7cR4+A+uFcvuYJ3rX0bJVNnjnF1kiQp3xnixlCMkZaTnTQeb6exuZ3G\n420cPf2+nWPHT3H0eDvHjrfTPd4SWpqymVOpmTuTmnklLJhXYliTMujo7uSRfdv49Z77eP7oS4Nu\nt6BsPu9d/w4uqDp/DKuTJEkTiSFulH3+Xx6n8Xj76bCWjQmuR8O0qYUsmFtCzbyZLJhXkgpsyeBW\nOsO516S+7D/ewL+99CBbX36YEx2tg243Y8p0rltzLdcs30JRgc+FSpKkwTPEjbIHd9TnuoQ+lc6Y\nyvw5M6iqmMH8OTOpqphxOrRVlPm8mjRYh1qP8lDdEzxU9wR7m14dUtspBUVcs3wLb135RsqKS8eo\nQkmSNJEZ4iaQKUUFVFX8IaT1DmwO2y8NT4yRfc31bDuwkyf27+CFIdwu2aMwFHDVkit4++o3M2dG\n+RhUKUmSJgtDXB4pnTGFebNnMHf2dOaVT2fe7OnMTb3mz5lBeWkxBT6jJo2KEx2t7Dq8h+0HnmH7\ngWc4crJxWP1MK5zK1Us3cu2K1zFv5pxRrlKSJE1GhrhxonhqIXNmFScDWoagNm/2dIqn+Z9LGitN\nbc08f/Qlnj20m2cP76auaf+g5nTry5zp5bxu2UauWb6Fsmklo1ipJEma7EwFY2zqlGQ4qyjr9ZpV\nzJzUsrx0mrc6SlnU3H6cl47V8WJjHS81vsKLx17hWFvziPsNBNZWr+INy65kXfUaCh2wRJIkjYFx\nEeJCCMuBLwObgA7gTuDjMca2Adq9E/gEsBR4CfjbGONdY1xuvz56/frT4ayirJgZxUUOGCLlQIyR\n5lMt7D/ewP7jB3i1uYH9LcnlsfaRB7Z01SWVbFx0Ca9d/BoqS+aOat+SJEm95TzEhRDmAVuBduBz\nQAVwM7AY+KN+2r0T+B5wN3Brat87QwidMca7x7bqvl19SW2uDi1NKjFG2jrbaWxr4lDrUQ61Hjm9\nPHwiuWzt7PfvQCMyZ0Y5G8+5hCtqL2FJea1/rJEkSVmT8xBHMrCVA+fFGPcDhBD2AreHEK6MMd7f\nu0EIoRD4AvCTGOPbU+u+RTIMfpFksJOUZxKJBK2dJ2npaOXEqVZaOlppOXWC5vYWjrU3c6ytmab2\nZhrbmjnW1kRHd2fWagsEllUsYl31atZVr2FpxTkUhIKsHV+SJKnHeAhx1wE/7wlwKd8heXvldcBZ\nIY7kbZcLgA/2rIgxxhDC14HvhxAujjE+OXYlS+qRSCTo6O6gI9GVXHZ30t55ivaudtq6TtHW2Z58\n33mKtq522jtT67vaaets50RaYGvtODmiwURG27wZFaysPJc1lStYV72aWcVluS5JkiQptyEuhFAO\nLAK+mb4+xtgdQngaWN9H0/VABLb3Wr8NCKnteR3iYjzzi2zGL7ax949n75Px6/Ag+j5rTRx4n8w1\nDrfdwPuctS5jN8P93Xr/G2Vw1r9jql2EBAlijMQYSRBT7xPJfWIkERPE1PpEjKffn7kucfo9nLnf\nH96f2WdXojtt2U1XopvuRDfdMdFrmVrf57YEXbGbzu5OOrs76ehZJtLep5bdMZHpXyfvhBBYWFbN\nsopFrJp3Lqsqz6PSKQEkSdI4lOsrcTWp5f4M2w4AG/ppF2OM9RnaAOTswbR33HXTmSsGGSwkZU8g\nUFNaxdKKc1hWsYil5YtYXL6Q4qJpuS5NkiRpQLkOcaWp5ckM29qAmf20O9VHG/ppN+Z6X0GTlDuF\nBYVUl1SysKyaBWXzWVA2n4Vl1dSUVjK1aGquy5MkSRqWXIe4gUYF6B5iu54E1Vc7SRNIUUER5dNn\nUTF9NpUz51A5c25yWTKXqplzqZg+m4ICBx+RJEkTS65DXEtqOT3Dtulp2zO1y3Tf04xe/fYphHAL\n8NmB9gOora2lsLBw32D2vesdtznOuCRJkqQxk+sQV5daVmfYVgP0fuatxz4ghBCqYowHe7Whn3an\nxRhvAW4ZXJmSJEmSND7k9D6jGGMz8AqwNn19ah64NSRHm8xkO8lRKNf2Wt8zamVf7SRJkiQpr42H\nh0V+CLwlhLAgbd0NJAcnubOPNg8Ah4DTQ0GGEELq590xxt5TD0iSJEnShBByPZpiCKES2EnyObYv\nA1XAzcBPY4z/KbXP5cAy4EcxxrbUuveSnF/uHuBnwNuANwJvizH+ONu/hyRJkiRlQ85DHEAIYSXw\nFWAj0ATcBXwqLbB9G3g3sCTGWJfW7v0kA18tsBv4XIzxR1kuX5IkSZKyZlyEOEmSJEnS4IyHZ+Ik\nSZIkSYNkiJMkSZKkPJLreeImlBUrVjwALMx1HZIkSZLGtVeff/75TcNt7JW4Udbd3T071zXko0Qi\nUZzrGoYj13Vn6/ijfZzR6m8k/Qyn7VDbeD4Ynlx/roZrPNSdjRrG4hij0afng4lrPHy2hiPXdXs+\nyG77obbp6Og4Z6jHOEOM0dcovpL/pLmvI99ewC25riEf687W8Uf7OKPV30j6GU7bobbxfJDb/z8m\nY93ZqGEsjjEafXo+mLiv8fDZyse6PR9kt322zwleiZMkSZKkPGKIkyRJkqQ8YoiTJEmSpDxiiJMk\nSZKkPGKIkyRJkqQ8YoiTJEmSpDxiiNN4sTXXBQzT1kly/NE+zmj1N5J+htN2JMfT4G3NdQHDtDXX\nBZCdGsbiGKPR50j6GE7bkRxPQ7M11wUM09ZJcPyxOMZo9DnSPobTfqTHHJKQmqdAoySEEGOMIdd1\nSMo9zweSeng+kJRupOcEr8RJkiRJUh4xxEmSJElSHjHEjb6/yXUBksYNzweSeng+kJRuROcEn4mT\nJEmSpDzilThJkiRJyiOGOEmSJEnKI4Y4SZIkScojhjhJkiRJyiOGOEmSJEnKI4Y4SZIkScojhrgM\nQgjLQwg/CSEcCyEcDCF8NYQwfRDt3hlCeDqE0JpaXjfA/u8KIbSMXuWSsmW454m09stCCG0hhPVj\nWaek8SOE8JsQwq25rkNS9vX1+Q8hXBNCeDSEcCKEsDuE8KHB9GeI6yWEMA/YCqwEPgfcDtwI3DlA\nu3cC3wNeAP4ceAW4M4Tw1j72XwN8DXCiPinPDPc8kda+BPg/wNQxKlHSOBNC+Gvg6lzXISn7+vr8\nhxA2A/8XOAHcDDwM/GMI4aMD9Vk02kVOADcD5cB5Mcb9ACGEvcDtIYQrY4z3924QQigEvgD8JMb4\n9tS6b5H8kvdF4O5e+18N3AWUAq1j9ptIGitDPk/0CCEsAu4BLsxGoZJyK/Ud4R9Injf8w600iQzi\n8/8l4GngjTHGLuAbIYQAfCaEcHuMsc+c4JW4s10H/Lzni1nKd0iGrb5uj9wELCD513gAYowR+Dqw\nNIRwcc/6EMKngV8D+1JLSflnOOcJQghvAHYCC4E7xrJASbkXQpgGPAV8DPhvQMhtRZKyZaDPf+qP\nupcCd6QCXI+vAbOAN/XXvyEuTQihHFgEbEtfH2PsJpmS+3p2ZT3JdL291/ptJP+DpbdbBXweuAw4\nMPKqJWXTCM4TkLz98ufARcADY1WjpHGjGJgGXBtj/KtcFyMpqwb6/PeVH7anbe+Tt1OeqSa13J9h\n2wFgQz/tYoyxPkMbgNq0de/uSdvJq6WS8sxwzxMAX48x3gp+/qXJIMbYHEI4P8aYyHUtkrJrEJ//\njN8nYowdIYRGzswPZ/FK3JlKU8uTGba1ATP7aXeqjzakt+t1uVRS/hnuecLPvzQJGeCkyWuAz/+w\nv0+AIa63gf49uofYrucBxr7aSco/wz1PSJIk9RjR9wlD3Jl65mzLNNfT9LTtmdpNy7B+Rq9+JeW/\n4Z4nJEmSeozo+4Qh7kx1qWV1hm01QO9n3nrsA0IIoSpDG/ppJyn/DPc8IUmS1GNfannG94kQwlSg\nggG+Txji0sQYm0lO0r02fX1qjoc19BqNLs12kqNQru21vmfUmb7aScozIzhPSJIk9egvP8AA3ycM\ncWf7IfCWEMKCtHU3kHy48M4+2jwAHAJu6lmRmqjvJmB3jLH30KGS8ttwzhOSJEkAxBhfIRnU/mvq\nD8E9Pgw0Ab/sr71TDJzti8C7gftCCF8GqkjOsn53jPFhgBDC5cAy4EcxxrYYY3cI4ZPAN0MIPwR+\nBrwNuCK1lDSxDPk80Uc/zjMgSdLk9XHgF8CvQwjfBzYD1wMfiTFmGrXyNK/E9RJjPARsAfaQnJT7\nBuA24L+k7fYB4F+BeWnt7kitXw3cCiwArosx/nigQ45a8ZKyYrjniUxdjVWNksaliJ97abI66/Mf\nY/wNyQs+FSTzwwbgphjj1wbqLMTouUSSJEmS8oVX4iRJkiQpjxjiJEmSJCmPGOIkSZIkKY8Y4iRJ\nkiQpjxjiJEmSJCmPGOIkSZIkKY8Y4iRJkiQpjxjiJEmSJCmPGOIkSZIkKY8Y4iRJkiQpjxjiJEka\nIyGEu0IID4cQ/leOjv/p1PF35+L4kqSxEWKMua5BkqQxF0KYBtwDrAAWA/uAZ1KbpwDzgXrgszHG\nR0bpmL+NMV49Gn1NhDokSaOjKNcFSJKUDTHGU8C/CyH8CXAHcEOM8bfp+4QQPgFsDSH8+xjjv+Wi\nTkmSBuLtlJKkyWYT0AU83HtDjPEfgF8Dt4cQQrYLkyRpMAxxkqTJZiOwPcbY1sf2e0jebrklaxVJ\nkjQEhjhJ0qQRQqgg+Uzcg/3sVgcEYE1WipIkaYh8Jk6SNJlsIhnQHuhnn1mpZfFYFRFCuBCojTH+\nNG1dOXBtjPG7aeveCWwAlgLXpV6rgEgyZL4XqARuAE4B64C/jjE+OVa1S5JyzytxkqTJ5EqSAai/\nK3ErU/scGMM6vg68vte6jwB/2/NDCGEGsDLG+OfA5cC9QEuM8eMxxk+QDKPfBP5zjPHmGOOngN8B\n/30M65YkjQOGOEnSZLIReDHGeKiffTanlvePRQEhhJkkr679ptemq0mGsB5bSI6UOQuYCzwWY7w7\nbXs3yWf3Pp22riO1ryRpAvN2SknSpJCaJ2498P1+9plN8pbLx2KMdal1lcBNwGeA24BXgGkkb2v8\n1xjjz4dYypWp5X1px51OMtjdnrbfduAI8CaSVwb/qVc/lwJ/H2NMpK27GHh+iPVIkvKMIU6SNFlc\nBkyl/1sp35Pa5+96VsQYD4UQfkjydscPxxgjQAjhIuDREMLcGOOJIdTxWuCJGKEOaMsAAAKGSURB\nVGNL2rpNJCccPz1vXYyxIXWczcCenp9T61aQnJz8/rR1AbgmvXZJ0sTk7ZSSpMliE8krWhkHNQkh\nlAF/BdyVPuBIylXA73oCXMoSoJPkgCJDcVWGGl4LvBBjrM+w/2bg/2XooynG+Pu0dRuBecBPQggl\nIYQ5Q6xLkpQnDHGSpMliE3A0xnjW7YYhhCnAd4G9wI0Z2l5NchLwnv3LgY8CN8YYOwdbQAihlOQt\nnS+mrSsArgW2pn7+atq2man97+NMr+XsK4pvA56KMb4CvAsoH2xdkqT84u2UkqQJL4QwFXgNZ1/R\nIoRwMXArsA+4pvetkanbFDcDT4UQbgSmk7z18YYY40tDLOVKoBBYnep7CsnbH0uBfSGEauBw2v4b\nU/v3rnsL8D96rVsOPJjqc1mM8RtDrE2SlCcMcZKkCSuEsBC4g+QojmXAJSGEn6U2F5EMZEeAv4kx\n/qqPbtYDMcZ4yyiUdBXwONAUQvg7krd33g58B/gz4APAF9P2rwTuizHuS/udZpIcmfLeXn1/Ffgk\n8KVefUiSJphw5u39kiQpXQjhZmBzjPE/DKPtb2OMV6f9/ATwixjjp/tpNup61yFJym8+EydJUv+u\n4uxn0oYsNd/bWvoYWEWSpMHydkpJkjIIIVwAXE9yUJOWEMKmGONIAtgWkrdPPjQa9UmSJi9DnCRJ\nGcQYnwaeJvmc2XCFtPfVwM9jjMdHVNjI65Ak5TmfiZMkaYyEEO4iOZ9cXYzx7Tk4/meAtwCzY4zn\nZvv4kqSxYYiTJEmSpDziwCaSJEmSlEcMcZIkSZKURwxxkiRJkpRHDHGSJEmSlEcMcZIkSZKURwxx\nkiRJkpRHDHGSJEmSlEf+P3fb3u9fldalAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116bf6a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define the complex refractive index for Black Carbon (Data from Sienfeld and Pandis)\n",
    "refr_BC = 1.95 + 0.79*1j\n",
    "\n",
    "# Define the wavelength of incident light (658 nm)\n",
    "wl = 0.658\n",
    "\n",
    "# Let's plot over a range of particle diameters\n",
    "diams = np.logspace(-2, 1, 500)\n",
    "\n",
    "res = {\n",
    "    \"Qabs\": np.zeros(len(diams)),\n",
    "    \"Qsca\": np.zeros(len(diams)),\n",
    "}\n",
    "\n",
    "for i, dp in enumerate(diams):\n",
    "    qsca, qabs, _ = mie.bhmie_scatter(\n",
    "                                particle_radius=dp/2.,\n",
    "                                radiation_lambda=wl,\n",
    "                                n_particle=refr_BC)\n",
    "    \n",
    "    res[\"Qabs\"][i] = qabs\n",
    "    res[\"Qsca\"][i] = qsca\n",
    "\n",
    "# Plot\n",
    "fig, ax = plt.subplots(1, figsize=(14,7))\n",
    "\n",
    "ax.plot(diams, res[\"Qabs\"], label=\"$Q_{abs}$\", lw=6)\n",
    "ax.plot(diams, res[\"Qsca\"], label=\"$Q_{sca}$\", lw=6)\n",
    "\n",
    "ax.set_title(\"Scattering and Absorption by BC at $\\lambda={:.0f}\\;nm$\".format(wl*1000))\n",
    "ax.set_ylabel(\"$\\eta$\")\n",
    "ax.set_xlabel(\"$D_P\\;[\\mu m]$\")\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.semilogx()\n",
    "ax.xaxis.set_major_formatter(mtick.FormatStrFormatter(\"%.3g\"))\n",
    "\n",
    "sns.despine(offset=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example: Scattering by Homogeneous Particles of Various Composition\n",
    "\n",
    "Let's try plotting the scattering by various particles..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ceeed9O/fP6DzLy/SUieEECJoLF23l8OZpxy3TRjZlqjIMB4a15k6sdGOeeYu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\nO3ag2O7XKJRJngHYXW1xSloo3vr1EuQU1yPQV4OYrlYGxD6SQ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XLmH2+BVie+o3Yo3RP7\nO/KBfHE/OLVSjeBLSV7gpV8HeQUg2DsQQZ7+8FAM7R4e5xzffnpStsl4UloIps2OG9IchBBCCBl+\nlNQRQka0MwV1KKoUl+hfPrezQEqzoRUF9SUoaCi+lMTV64bWajKs1ojM8+L2CQ0+ChzKsL37ZTAZ\nUN5chfLmKtkxfhpfBHsGIMg7AEGeAfBVa+Gj1sJX3bnz1/nf3vBUauCh8Oiz83d0fzFOHysXvran\nlweuvzWLjl0SQgghowAldYSQEa1PGwOFEZJXM/zD9Nhasx6vni9GTZtjC+BKFo4rD7ZALh3amu0D\ns2LoyVKTvhlN+mbkN4gbqltjjEGjVEOjUEOjVMOz3ReeB8eByXSu8Z2ux8aSLfBQeECl8IBKoer6\nbP2hsop7QK1Uw0upgVJB/3QQQggh7oT+ZSaEjFjldY3YX3gGirAmSN5dH56dRw11APaXOWferFwd\nQhr73uEDgLMJGpSFqZwzsQ2cc+iMeuiMekgmJZLOjAeziBO6+pBSnNadAs4Mbi4PSQkvD094emjg\n6aHp+rUnvJTW/62Bl4cGnkpPeKk84ans+m+r8UrJeQVsiG3c6pIlty4w3eOXXPQwel/QZIx1foDR\nzi8hhAwTSuoIISOC3mRASWM5CrruwRXUF6O0uQoeaTIVQJzEp82MmSdbhTGdmmHXZFHZFBfiQHR+\nFtQG8fFPvWczKuMGmc11MVpMaDK0oMnQMqTXUUpKKJgEiUlgjEFiEqSuz4wxSFa7jD0TDN79C5m4\nFZnkRX6M+DVFY4aSDA3HWlzFOsGT0DPhc1xMAsPlhFKCBDAIYp3fUwAgMQaG7u+1rhi6v+8uP97z\n+1E0Rrr8/F7ftxKTwGRe0/aYvq/FZMbbHCdcd9dnqfNxBVNAYgwKprj09SOEjHyU1BFC3E5bRzuK\nGstQ2FCCgoZSFDaUoKKlusfugjMwMAR6+SPUOxhh3sEI1QYhQOMHn667az5qLRpefAvNZvFxzsS1\n9+BPc7OhNxnQYmhFs6EFTfoWNBta0aBrQp2uHjVt9ahtb4DJIt7pG6qwslT4NoUKY2bJhJJxx8Al\ncXEXVzNZTHDOV4EMJ855ZzLJAfNwL4b0i3UleJLVZ0lSdCWAlxPJzph1cihdSiAVkmSVdPaM9R6v\n6PV4j9ilxxSXktFLa5O6H1P0XJNktTbBenqsRS4m+j1dil1eCyHujJI6Qsiwata3oKChFEWNpSho\nKEFhQymqW2ucPi9jDNE+4UgKjEdiYCySAuMQ5xcFlVL+6GTjyVMo3n9YGPOdkIGEa5bZ9a63hVvQ\nbGhFbVs9atu7PxpQ216PuvYG1LY3oEkvLv5ii19tJEIq5RudVyScQodn24BflxAyenHOYeLdb68Y\nh3Ut7qxzt7Qz4RUlqD0SY6sk0TpR7pu8Sj2S5R6vK11+PYUgCVZIij4JaOfrKqzG9E5oFcJk3Dop\nVkh9E9pLaxD8Xmm3131QUkcIcQnOOep0DShsKO36KEFRQxnqdA0umT/CJxRJAXFICuz8iPePhsZD\nY/fzudmMwtfeEMaYUomkRx60+x82iUnw1/jCX+OLcUHxwjFGsxF1usbOJK+tHk2GZjQbWtGsb0Vz\nRytaunYAWzvaoDd3QNWsRVThRNk560KL0RRUadf6CCGE9MTBYeYcZrOFUt9ehpTgCo4G942Lk8ue\nCW7nLm7fBLfreX0S3L7J7OXfh0Lw2OXfW8//tlp7r/GuTnYpqSOEOEWjrgm5dQXIqyu6lMS1dLhm\nlyjUOwiJgXGXkrjEgFh4qTyH9JpVGzehvbhEGIu8fjm8oqOH9Pq9eSg8EK4NQbg2pN+xLc16vPq3\nnWjlBmE8MFqNRTfMgAlT0WE2dn10oMNshPHSf3c+ZjSbLsV6x/UmPdpNeqcfgyWEEDJyWLgFFt51\nrJ/OXF/S52izjQRXISnwl2t+PaT5KKkjhAyZxWJBSVMFztflI7e2AOdrC1DdVuuauQ0a8DZfWNr8\n4KcIxd8fXgF/Tx+HzmFsbkbx+x8KYx4BAYi+ZaVD5xsIY4cJH795CK3N4oTOP9ATax+YB2+t2iHz\ncc5hMHeg3ai7VG2z3aiDzqRHe0fXZ6MeOqPu0ufLj3WNNeooOXQzzLpBBxM/3uM95+53oHlnKZZL\n9+gIIYQAcP3RZkrqCCGDcrG1Fierz+FE1Tmcrs5Bm1HciNuRgjwDEOEdgeMnDDC3+cHS5gcYLycr\nN90wweEJHQAUv7cO5jbxLmP8PXdB6TW0XcDBslg4Pn//GMpLxI3UPVQK3Lo222EJHWDVD0+pBobw\n2+acw2g2wgJ+6V1eC+/8Nbf6LEowBp2A9Hq85+vYM8bRaxn6egey1s6nOfc4EOe8888PHOj63PmY\n5VLyZ4EF4OiKWboSwsuxy//d89eXX6szgewR6/FYz8+9Y5e/xy5/73U/brFcHmP9PWn9fdn5etYx\n6/G9xlnHIXqtXmu5tD4bcw/0Nbs+zL0+X/p/jBAyKlBSRwixi8ViQW5dPg6UHsOxyjOobL3o1PnC\nvIOREBCLhICYrs/R8NP44j+fnYCxvKjPeG+NEldNj3X4OlrzC1C9eYsw5pOaipD5Vzh8TntwzrHp\ny9PIPV0lO+aG1ZMRFunrwlXZjzFmsygNGZkutxggI0F3Imid6Fks8klgn5jFbJU8dv7a3P3ZYrZK\nevs+1jnOKum09E1Au+c0C5LT3mvp/jWXey2Z8T1jl38/l2PmS28MEOLOKKkjhMgyW8w4c/E89pcd\nw6HyE4OqyNgfBoZInzDEB0QjMSAOCQExiA+IhlbVt89ac1sHthwqFb7O1TPj4aXxcOjaOOcoeOW1\nPs2WOxfOkPjgfcNW9Wvf9nwc2lMkG5+/JAXjJ0W4bkGEkBGn+86PAorhXorbu5SgdiWmZpmk0Pqx\nnsnv5UTyctJpthpjneBaJ8iX45eTTvOl8WarxLP3/JfXab609h5JrfU8MuNFr2u2SuBpt9d9UFJH\nCOmjorkK2wr3YUfRfjQ6MJFTSArE+kYiPiCmawcuBnF+UXZXofx2dwE6jH1vYUsSw/K5iQ5bZ7ea\nHbvQkpMrjIUtvhLacfLtA5zp9LFybPnmnGw8PTMSVyxOceGKCCFkdOuskghAogTYWo/dXjuSwL67\nvd27vL0TXsulpLZnwtszdjnhtUqUeyS8vZPVXgm31Y5sz4TXap4er9H799X7scuv4WqU1BFCAAAd\npg7sKTmMrYV7kVub75DXjPINR2pwEpID45EYGIcY3wgoFYP7a0dnMOGrXQXC2NzMSIQEOPZem6ld\nh6K33hHGFN5eiLvzdofOZ6+ivFqs/+C4bDw2MRA3rM4Ck6hvECGEEOfqsdurcOxpmZHM+o5rz+RS\nvJvriB1PSuoIGeOa9M3YlLcDm/J2osXQOujX8ZCUSA5KQGpwElKDE5ESlAituu8RysHatL8IrTpx\n9agb549z2Dzdyj79DMYGcQ+92NW3wcPPz+Fz9udiVQs+evMQzGbxO4DBYVrcunY6lB70TjIhhBAy\nXKyTXVelupTUETJGlTdX4ZvcH7CzaD+MFlP/TxCI9YvCpPDxmBQ2HuNDxkHtpMIXRpMZX2wX7x5O\nTgnBuBh/h86nq6hAxfqvhTGv2BiEL73aofPZo7lJh3Wv7odBL/6z0vqocfv9M+DpRcVHCCGEkLGG\nkjpCxpiqlov4+PQ32FNyeMDVvBhjSA9JxozoyciOykKgl2OTKTlbD5ehvlkvjN1ypePvjhW+/ha4\nSZw8Jdx/LySla//q1OuMWPfKATQ3ir8GKrUCq++fAf9AL5euixBCCCHugZI6QsaI2rZ6fHr2O2wv\n3DfgC7wZoSmYGzsd06My4atxfB84W8wWjs+2XRDGUuMCMCEpyKHz1R8+gobDR4SxoFkz4Z85yaHz\n9cdkNOOjNw/hYlWLMC5JDLesmYaIaNcfByWEEEKIe6CkjpBRrq2jHZ+e+Q6b8nbANIBjlkGeAZif\nMBMLEmYhXBvixBXatvt4OSprxY2/b1mU7NCWAhajEYWvvymMSSoV4u9d47C57FqPheOLdcdQnF8n\nO2b5LZlISg114aoIIYQQ4m4oqSNklLJwC7YX7sO6k1+ieQAFUCaGpWFZypXICk+HJA1vC2Gz2YIP\nNucIY7HhPpieHu7Q+Sq++gb6ikphLOrmG6EJdV3yxDnH5vVncO6keD0AsOCaVGRlx7hsTYQQQghx\nT5TUETIK5dUV4fWjHyK/vtiu8QomYU7cdCxPuQrxAdFOXp39dhwrQ3mNeJdu5aJkSA4s22+oq0Pp\nx58KY+rQEETduMJhc9lj77Z8HNxdKBufOisO865KduGKCCGEEOKuKKkjZBRp79DhvROfY0vBbrvG\nKyUlliTNw/VpS1xW9MReJrMFH24+L4xFhXjjiqwoh85X9Na7sOjFhUji166BQq126Hy2nDhcih++\nlW8unpoRhqU3TXTo0VNCCCGEjFyU1BEyShyrPI1XDq1DnU7cW82axCQsTJiNmzOWItgr0AWrG7ht\nh0tRWSfepbttSRoUCscdDW06cwa1O3cJY36TJiJo1kyHzdWfvJyL+PqjE7Lx6PgA3HTXVIfuUhJC\nCCFkZKOkjpARrrWjDW8d+wQ7iw7YNX5O7DTcOuE6hPu4b3ENo8mCD7/PFcZiwnwwz4G7dNxsRsHL\nr4mDkoTEB+512Y5YRWkjPnn7MCwWcauJ4DAtVt+XDQ9qLk4IIYQQK5TUETKCHa04jZcOvYtGfXO/\nYxP8Y7B2yq1IC0lywcqGZvOBYlxs0Aljt1+dCoUDd6mqNtCqvusAACAASURBVG5Ce3GJMBa5/Fp4\nxcY6bC5b6mvbsO61AzB2mIVxH18N7niAmosTQgghpC9K6ggZgYxmI94/8QW+u7Ct37FalTdWT1yB\nKxPnDHs1S3u0642yFS/jI3wxe2Kkw+YyNjWh+P0PhTEPf3/E3LbKYXPZ0tZiwPuv7Ed7a4cwrtYo\ncfuDM+AXQM3FCSGEENKX2yd1jLEtAM5yzn9sx9jbAfwCQCKAAgC/5Zx/7OQlEuJS5c1V+Me+11HU\nWNbv2EUJs3Fn5k3Qqr1dsDLH+HTrBTTJJDe3X53m0Ltkxe+ug7lNfG8vfs2dUHo7/+tmNJrxwRsH\n0VDXLowrFBJuXTsdYRG+Tl8LIYQQQkYmt07qGGO/BrAIwFk7xt4O4D0AXwD4J4AVAD5kjBk55184\ndaGEuADnHNsK9+LNox/DYBYnPd2CvQLx8PQ7MSl8vItW5xi1jTqs35EvjKXE+mPmBMf1pWu5kIfq\nLT8IYz6pqQhZMN9hc8nhFo71HxxHRUmjeAADbrxjMuLHBTt9LYQQQggZudwyqWOMKQD8EcDTAMQV\nA/qO/xOArznnN3c99hqA7QCeQ2eiR8iIZTB14NUj6+wqhrIk6QrckXkjPD00LliZY7238Rw6TBZh\n7N7rJjisYAm3WDqLo3DBXy+MIfGh+8FccFR1++ZcnD1RIRu/ZsUEpGc67rgpIYQQQkYnt0vqGGNq\nAIcBpAN4Hp2JXX/mAogC8HD3A5xzzhj7N4B1jLGpnPMjzlgvIc5W1VqDv+x5BcX9HLcM8gzAYzPW\nYEJYqotW5liFFU3YerhUGJs5IRwZiUEOm+vi1m1ovXBBGAtbshjapESHzSXn5JEy7PpevAYAmL1w\nHLLnJTh9HYQQQggZ+dwuqQOgAaAGsJxzvoExZk9SNwWdO3rHej1+FADrilNSR0acoxWn8K/9b6LN\nKK4E2S07OgsPT7tzRN2ds8Y5x8tfnBJunCkkhnuWZzhsLmNzC4refk8YU/poEXfn7Q6bS05JQZ3N\nXnQZWZG4clma09dBCCGEkNHB7ZI6znkTYyyNcy4+gyUW2flU3vscU2XX5xjHrI4Q17BwCz478x0+\nOfOtzXEqhQfWZN2Cq5LmuqyXmjNsP1qGMwV1wtg1s+IRFaJ12FxFb74NU7O4BUTsHavh4evjsLlE\nGura8PFbh2E2i/+Ki4r1x/W3ZY3oP09CCCGEuJbbJXUAMMCEDgB8ABgEj3dvb4zM7QsyJulNBrx4\n4G0cKOu98dxTjF8knpx1P6L9Ily0Mudo0xnxxtdnhDFPtRKrlzjuOGnjyVO4uFXcBsI7IQHhSxY7\nbC4Rvc6ID14/iPY2caEbvwBP3HovNRcnhBBCyMC4ZVI3CHIVDboPc4m7+RLiZmrb6/HnXS+hsFF8\nt6zb3NjpeHD6HdAo1S5amfOs25SDxhbRezKdLQz8tI75PVo6OpD/n5fFQcaQ+PADYArnJVMWswWf\nvnMYtdWtwrhKrcRt92VD6zPy/0wJIYQQ4lqjJalrQec9vN68rOI2McaeBfA/9kyWkJAASZKa7F4d\nIXa4UFeIP+9+CY168dFAAFAwCXdnrcQ1yQtGxfG8woomfLO7QBiLC/fB8rmOKxRS+sln0FdUCmPh\n11wN3zTnFZjhnGPjl6dRcL5WGGcMuPmuKdSLjhBCCCGDMlqSulIAjDEWxjmvtnq8uxa4fM3wLpzz\nZwE8a89kqampRQNbHiG27Sk5hH8feAdGi0l2TIDGD0/OfgBpIUkuXJnzmC0cL35yAhaZpiUP3zQJ\nSoVj2gq0l5Si/PMvhTGPgADE3eXc4igHdxXi8N5i2fiSFRlIHh/m1DUQQgghZPQaLUndMXRWucwC\nsMnq8e6qmEeHY1GE9IdzjvU5m7HupDjh6JYSlIin5zwIf08/F63M+b7elY/ckgZhbMHUaExIckzD\nbW6xIO/fL4GbxAlz4oP3QentvGu3589WY/NX4juDADBtdjyyHbgjSQghhJCxZ7QkdbsBXATwKLqS\nOtZ5Nu1RABc457YrThAyDCwWC944+hE25++0Oe6KuBl4cPodUCk8XLQy56uobcW7350Txrw0Stzr\nwBYGVZu+R8u5HGEsMHs6gmbNdNhcvVVXNOPz944IWzUAQGJKCK65IWNUHKUlhBBCyPAZkUkdY2wm\ngCQAn3POdZxzM2PslwBeZYx9BuA7ADcBmN31mRC3YjB14B/7XsfhipOyYxgYVk9agRVpS0bVD/0W\nC8e/Pj6ODpO4yO3dS8cjwFfjkLn01dUoeusdYUzSaJD44P1O+9q2Nuvx4RsH0WEQ12kKCdNi5d1T\nITnoiCkhhBBCxq6RkNRxXK5i2e0hAHcD2AWgBAA4528wxiQATwO4BsAFAKs451+5cK2E9KtJ34w/\n7foP8uqLZMeolWo8PuMeZEdnuW5hLrJhXxFO54t70mUkBmHpbMccReQWCy7880VY9HphPO7O1VCH\nOOaIZ29GoxkfvXkITQ3ipvFe3ircdl82NJ6jZ/eVEEIIIcPH7ZM6znmfGuOc87UA1goefw3Aa65Y\nFyGDUdlyEX/Y+QKqW2tkxwRo/PDMFY8hISDGhStzjdLqFtmedCqlhMdXZUGSHLNzVrVhI5pPi+fS\njktCxLVLHTJPb9zCsf6D4ygvaRTGFQoJq9ZOR0AQtc8khBBCiGO4fVJHyGiRX1+MP+x8AS0GcZ8y\nAIj2jcAvr/gRgr0DXbgy1zCaLPjLuiPoMIqPI95xTRqiQrQOmUtXWYmit98TxphSieQnfuS0nnTb\nN+fi7An5grvX35qJ2ITR9+dLCCGEkOFDSR0hLnC6OgfP7X4JepO4yTYApIck4+m5D0GrGp07OO9v\nPIf8MnF7x+QYf6y4wjGtGiwmEy787Z+wGMRf69jbb4NXbKxD5urt5JEy7Pr+gmx83uJkTJwa7ZS5\nCSGEEDJ2UVJHiJMdLDuOv+97HSYbPejmxE7Do9l3w2MUVbi0djKvBp9vzxPGVEoJT66eAoWDCoaU\nfvQJWnLPC2PalGRE3XC9Q+bpraSwHl9/dEI2npEViQVXO6/BOSGEEELGLkrqCHGirQV78fLh98Dl\natoDWJG2BKsnrYDERmcVxIZmPf7yvnxZ//tWTEBMmI9D5mo6cwZln34ujEkqFZKfeNwpxy4b6trw\n8ZuHYDaLK3pGxfrj+tuyRlUVU0IIIYS4D0rqCHGSr3I2470TX8jGGRjunXIrrk6e78JVuZbZbMGf\n3zuC+mbxUcjs9HAsnRXvkLlMra04/9d/AhZxYhV31x3wio5yyFzW9DojPnj9INrbOoRxvwBP3Lp2\nOjw8nHOHjxBCCCGEkjpCHIxzjvdPfomvcjbLjlFICvx45lrMipnqwpW53rsbzuFUfq0w5u+jxo9v\ndczuFecceS/8Gx21MnNNzkLE8muHPE9vZrMFn75zGLXV4uI3KrUCt92bDa2D+u4RQgghhIhQUkeI\nA1ksFrxyZB22FuyRHaNWqPD03IeQGZ7uwpW53oHTlfhsm/geHWPAk7dNgZ9W7ZC5Kr76GnX7Dghj\nHn6+ndUuJcceb+WcY8Pnp1BwXpxIMgbcdOdUhEX6OnReQgghhJDeKKkjxEGMZiP+sf8NHCw7LjvG\nW+WFX8x7DCnBiS5cmeuVVDXjrx8clY2vuioFU9JCHTJX05mzKHrrXdn4uB//CKqAAIfMZW3vtnwc\n3V8iG19yfQZS0sMcPi8hhBBCSG+U1BHiADqjHs/veQmnqnNlxwR4+uG/5/8YMX6RLlyZ6zW1GvDb\nNw6gXS+u9pmVEoLVS9IcMldHQwNy//xX2Xt0EcuWInCa44+4nj1RgR++PScbnzY7DtnzEhw+LyGE\nEEKICCV1hAxRs6EVf9z5AvLri2XHhGtD8N8LnkCod5ALV+Z6RpMF//fOIVTVtQvjwX4aPH3HVCik\nod+jsxiNyH3+bzA2NAjj3klJiL/n7iHP01tpUT2+WHdMNp6YEoJrbphAlS4JIYQQ4jKU1BEyBHXt\nDfjdjn+ivLlKdky8fzR+Of9x+GtG990qzjle+vwkTufXCeNKBcPP10x3yD06zjkKXnkNzafPiOfS\napH286chqVRDnstaQ10bPnrjEMwm8c5gaIQPblkzFZKDeu4RQgghhNiDkjpCBqmy5SJ+u/0fqG2v\nlx0zPmQcfj73UXipPF24suHx0Zbz2HxAfrfysZVZSIsLdMhcld9uQPXmLbLx5Cd/DE2YY+7sddO1\nd2DdqwdkWxdofdVYfd8MqDWjs4E8IYQQQtwXJXWEDEJRQyl+v+NfaDK0yI6ZEjkR/zXrfqiUjt0t\nckffHyjG+xtzZOM3LhiHq7JjHTJXw7HjKHz9Tdl49KqVDr9HZzKZ8fFbh1FX0yaMe6g6Wxf4BYz+\n5J0QQggh7oeSOkIGKKcmD/+3699oN+pkx8yLy8Yj2XdDKY3+htOHzlbhhU9PyManp4dhzTLHtG9o\nKyxC7nN/kS2MEjBtKmJvW+WQubpZLBxfvH8MxTLHSjtbF0xBZIy/Q+clhBBCCLEXJXWEDMDRitP4\n695X0GE2yo5ZmrwQayavhMRG/72q0/m1+L93DsNi4cJ4fISvwwqj6Ksv4sxvfgdzu7gIi2dMNFKe\n+gmYwnGJdHcvunMnK2XHXL1iAlIzwh02JyGEEELIQFFSR4id9pQcwgv734KZi3eJAGDVhOW4Of3a\nMVH5MKe4Hv/7+n50GM3CeLC/J559YCa8HHDHzNjcgrO/+a1spUuljw/S//sXUHp5DXkua9s35eLI\nPvl7gtnzEqh1ASGEEEKGHSV1hNhhc95OvH7kQ3CId6QAYO3kVViastCFqxo+eWWNePaVfdAZxAmd\nt6cHfvPATAT5Df2Omaldh3O/+wN05RXCOFMokPbMT6EJd+xu2cFdhdj1/QXZeEpGGJZcn+HQOQkh\nhBBCBoOSOkJs4Jzjy3Ob8MGp9bJjJCbh0ey7cUX8DBeubPgUVTbj/728F20yzcU9lBJ+fe8MxIYP\nvYWD2WDAud//ES2552XHjPvxY/Cb4Njk6tTRMmz88rRsPCYhEDffNRWSA46VEkIIIYQMFSV1hMjg\nnOO9E5/j61z50vkekhJPzn4A06ImuXBlw6e0ugW/fmkvWtrFdwoVEsPP75qGjMShN1m3dHQg5w9/\nku1FBwBxa+5C6IL5Q57L2tkTFfjyg+Oy8bAIX6y+LxseHqO/CA4hhBBCRgZK6ggRsFgseOXw+9ha\nuFd2jKdSg5/NewQZoSkuXNnwKaxowv97eR8aWw3CuMSAp++cihkTIoY8l8VoRM5zz6PxuHxVzYjr\nliHqxhVDnstazqlKfP7eUXCZwi/+gV64/cEZ0HhSLzpCCCGEuA9K6gjppcNsxL/2v4kDZcdkx/io\nvPHL+Y8jKTDOhSsbPudLGvA/r+xDq068Q8cY8JPVUzA3M2rIc5kNBuT88Tk0HpPfLQueNwcJ997j\n0II0uaer8Ok7R2QreXprVbjzoZnw8dU4bE5CCCGEEEegpI4QK20d7fjz7pdwtka+QEaQZwB+teBx\nRPsOfUdqJDidX4v/fX2/bFEUAHhsZRYWTo0Z8lymdh3O/f6PNo9cBs6cgeSf/BhMclzLiPNnq/GJ\njdYMao0Stz8wE4HB3g6bkxBCCCHEUSipI6RLXXsD/rDzBZQ2iassAkCENhT/veDHCPEe+p2xkeBo\nzkX8/q2Dsm0LAOChGyfi6plD37E0Nrfg3O/+YLMoSsDUKUh9+klISsf91ZV7pgqfvn0EFrM4oVOp\nFbj9gRmIiPZz2JyEEEIIIY5ESR0hAEqbKvCHHS+gTifugwYA8f7R+NX8x+GnGXpVx5Fg17Fy/PWD\nozCZ5fvyPXjDRCyfmzjkufRVVTjzm99DXyGfUPtlTkLaMz+F5OG4+2wnj5Rh/YfHZe/QeagUuP3+\nGYiJD3TYnIQQQgghjkZJHRnzcmry8Kdd/0abUSc7Ji04Cc/MewxeqqH3XXN3nHN8sT0fb34jfwRS\nYsDjq7JwVfbQd+haLuTh3G//AGNTk+yYgKmTkfrzn0JSqYY8X7eDuwux8Qv5tgVKDwmr789GrAMq\neRJCCCGEOBMldWRMO1B2DP/c9waMFnHPNQCYFpWJn8y8Fyql4xIKd2W2cLy2/hS+2V0oO0YhMTx1\nx1TMyxp6UZT6g4eQ+/zfYDGIK2oCnXfoUp9+0mE7dJxz7NpyAds35sqOUSolrL5vBuKTgh0yJyGE\nEEKIM1FSR8asTRd24I2jH4FDfPQOABYnzcN9U26D5MCiHO7KYDTjL+8fwb5TlbJjPJQSnlkzHdnp\n4UOai3OOqu82oOC1NwGL/PHO4CvmIeUnj4MpHNMTzmLh+P6rMziwSz5pVSol3HpvNhKSKaEjhBBC\nyMhASR0Zcyzcgo9OfY0vzm20Oe7WCdfhpvSlDi2b764amvX4/VsHkVssf6fQU63Ar+6ZgcyUkCHN\nZenoQP5Lr+LiD1ttjotccR3i77nbYVUuOwwmfP7+UZw/Uy07Rq1R4rb7shFHRy4JIYQQMoK4ZVLH\nGBsH4G8A5gLoAPAhgGc457KXnhhjiwFsEoQ4AA/Oufx2ABkzOkwdeOHg29hfelR2jMQkPDjtdixK\nnOPClQ2f/LJG/O6NA6ht0suOCfBR43/un4mkaP8hzWWoqUXO/z2H1rx8+UGMIeG+tYi8btmQ5rLW\n1KDDh28cRHVFs+wYb60Ktz8wk6pcEkIIIWTEcbukjjEWAmA7AD2A/wUQCOBpAPEAVth4ajoAM4A1\nvQOU0BEAaNQ14bndLyGvvkh2jFqhwpOz78eUyImuW9gw2n2iHH/74JjNlgUxYVo8e/8shAZ6DWmu\nptNnkPvc8zA2ySdWkkqFlP96AkGzZg5pLmvlJY346I2DaG2Rv7fnF+CJOx+aiaAQrcPmJYQQQghx\nFbdL6tCZwAUASOGclwMAY6wIwCuMsXmc810yz0sHUMw5X+eaZZKRpLixDH/a9R/UttfLjvFRa/GL\neY9hXFC86xY2TCwWjg825+LD7+WLhQBARmIQ/nttNrRegy8Swy0WlH+xHsXvrbN5f07p44Pxv3oG\nvuPTBj1Xb6eOluHrj07AZLJxby9Uizsfmglf/9Ff2ZQQQggho5M7JnWrAGzoTui6vIXO45irANhK\n6mz/hErGpKMVp/H3fa9Bb5LfqQn1DsIv5z+OSJ8wF65seLTqjPj7B0dx4EyVzXFzMyPx5OopUHkM\nvkhJR30Dzv/9n2g6cdLmOK+4WKT94mfwjIgY9FzWTEYzNn91Bof3FtscF5sYiFVrpsFLq3bIvIQQ\nQgghw8GtkjrGWACAOACvWj/OOTczxk4BmGLj6enoTP7AGNMAMHDO5csaklGPc44NF7bh7eOfwta3\nQnJQAn4692H4j4Gm4oUVTfjjW4dQWddmc9xti1OxekkqJGnwRWIajhzFhX/8y+ZxSwAImjMLyY8/\nBoWnY3bKGura8Ok7R1BZJt/3DgAyp8dg+cpJUChHf2VTQgghhIxubpXUAYjs+lwuiFUCyBY9iTEW\njs4jm+MYY6cBjAegY4y9C+C/bBVYIaNTh6kDrxxZh51FB2yOmx07DY9Ov2tM9KDbergEL3560ub9\nOZWHAk+unoy5mYPvQWc2GFDy3jpUfPWN7YGShLi77kDUjSscVmE051Ql1n94HAa9fN9BMODKa8dj\n9sKkMVHZlBBCCCGjn7sldT5dn9sFMR0Ab5nnpXd9ng3gNwBKASwG8AiAGADLHbhG4uZq2urw/J6X\nUdhQanPcyoxrcUvG8lH/g32H0YzX1p/Ghn1FNscF+2nwq3tnYNwQKly2nL+AC//4F3RlovdlLlNq\ntUh5+kkETM4a9FzWOgwmbP7qDI7uL7E5zkOlwI23T0baRMcc8ySEEEIIcQfultT1dw5KbouhDJ3J\n3Jec8xNdj61njDUA+CVjbAHnfLuD1kjc2OnqHPxt3+toMbTKjlFKSjwy/S7Mixdu/I4qJVXN+PN7\nR1BUafsIZGpcAH51TzYCfDWDmsdiNKL0w49R9vmXNouhAIDP+DSkPvUTqEOG1u+uW3FBHdZ/cByN\n9aL3gi4LCPLCLWumITyKWhYQQgghZHRxt6Supeuz6HKNp1W8B875eXQmdb29CuBXABags00CGaU4\n5/j2/A9498TnNu/P+aq1+Onch5EanOTC1bke5xwb9xXhtfWn0WGj8iMALJuTgPuuz4CHcnAFUVrz\n8nHhny+gvdj2LhkYQ/QtNyP2tlVgisEXX+lmMpqxbWMu9u3I7+xGacP4SRG4blUmNJ4eQ56XEEII\nIcTduFtS1/1ToehsVCSAigG+Xk3X534vTDHGngXwP/a8aEJCAiRJsl2FgbiM3qjHy4ffx56SwzbH\nxfpF4WdzH0aoNthFKxsezW0deOGT49h3qtLmOJWHAo/fkokFU2MGNY+pXYeSdR+g8tsN/e7OqYIC\nkfLkE/CbOGFQc/VWlF+L7z49hdqL8juyACApGBZfl47suQmj/pgtIYQQQsYut0rqOOdNjLFiAD0u\n2jDGFAAmAHhT9DzG2E8BPAxgMufc+pxZatfnPDvmfhbAs/asMzU1tcieccT5ihvL8Le9r6Gipdrm\nuNmx0/Dw9DuhUY7u0vWn8mrxl3VHUNektzkuMtgbv7gnG/ERA6/4yTlH/f4DKHj1dXTUyff96xY0\nawaSHn0YHr5Dry7a1mrAlq/P4sThsn7H+gV44ua7piI6LmDI8xJCCCGEuDO3Suq6fAbgYcZYlFWv\nurXoLJLyocxzigEkdI37h9XjzwBoBbDeSWslw4Rzji35u/HWsY9htMhXOmSM4a7Mm7As5cpRvVNj\nMJqxbmMOvtiRh/4aecyZFInHV2XBexBHEfUXL6LgldfRcMj2rijQWQwl8aH7ETxv7pC/9tzCcfxQ\nKbZ8cxa6dmO/4zOnx+DqFRl03JIQQgghY4I7JnXPAbgbwE7G2N8AhAF4GsAXnPN9AMAYmwkgCcDn\nXe0KPgHwGIDnGGNJAM4BuB7AEgBPcc7rXP/bIM7SbtTh5UPvY1/pEZvjfNRaPDnrPkwIS3PRyoZH\nTnE9/v7BMZTX2D6KqFYp8OANE7E4O3bASZbFaETF19+i9MOPYTHIN3HvFjB9KsY9+ghUgUPfJSsp\nqMPmr86iorSx37HeWhWW35KJ1AnhQ56XEEIIIWSkcLukjnN+kTE2H8DfAfwfgEYA/0FnwZNuD6Ez\n8dsFoIRzzhlj1wH4I4BbAPgDyAVwD+f8XVeunzhXTk0+XjjwJi622c7TEwJi8PSchxDiHeSilbme\nwWjG+xtzsH5HHiz97M4lRvrh6TunIibMx/bAXjjnqD94CEVvvA19VVW/4xXe3ki47x6ELlo45N25\nhro2bPnmHM6dtH03sFvaxHAsWzkJ3trRfcSWEEIIIaQ3ZqtSIBHrvlOXm5sbb8dw+gI7gMlswidn\nvsWXOZtsVrcEgIUJs3HflFtHdUNxe3fnAGDFFUlYs2z8gKtbthUVo/D1N9F08pRd40PmX4H4e9dA\n5T/4PncA0N7Wgd0/XMCh3UUwm20XYAEArY8aV6/IQHpW5Kg+YksIIYSQUW1IP8S43U4dIb2VNVfi\nX/vf7LeZuFqpxgNTV+OK+BkuWpnrteuNeH9jDr7ZXdDv7py/Vo0nbpuMaePDBjSHsbkZJes+RNWm\n7/utagkAmohwJD38IPyzMgc0T296nRH7dxZg/44CdBjk70lewoDps+OxcGka3Z0jhBBCyJhGSR1x\nWxaLBd9d2IoPTn0Fo9l2cYw4vyg8Oft+RPqOzrtUnHPsPlGB19afRn2z7cqWADBrYgQeuXkSAnzs\nbyZu1utR8fW3KP/iS5jbbDfyBgCmVCLqphsQc8vNkFSD3xXtMJhwcHch9m7Lh17XfxEUAAiP8sWy\nlZmIih3ariAhhBBCyGhASR1xSyWN5Xjp0HvIqy/qd+zipHlYk7Vy1B63rKhpxUufn8Sx8zX9jvXx\nUuGRmyZh7gCOIlqMRlR//wNKP/oExsb+i5EAgN/ECUh86AF4xUTbNV5E196BQ3uKcGBngV0VLQHA\nS6vCwmtSMTk7FpJCGvTchBBCCCGjCSV1xK2YzCZ8cW4jPj+3EWaL2eZYH7UWD027A9nRWTbHjVQd\nRjM+3XoBn269AKOp/2OQsydF4JGbMuHvY1+hEG6xoHbXHpSs+wD6Ktt9/rppwsMQf88aBM7MHvT9\ntZZmPfbvKMCRfUXoMNj+M+6mUEiYcUUi5l01DmoNHbUkhBBCCLFGSR1xGzk1eXj1yAcobarod+yU\niAl4ePqd8Pf0c8HKXKv7qOXb355FdX3/xyAHujvHLRbUHziIkg8/RntRsV1rkjQaxKxaicjrl0Py\nGFxSVV/bhr3b8nDiUJldBVC6pWdG4spl4xEQ5DWoeQkhhBBCRjtK6siwa9Q3470Tn2Nn0YF+x6oV\nKtydtRJXJQ29obU7yimux+vrTyOnuMGu8QumROPe6zPsujvHLRbU7duP0o8+QXtxiX0LYgyhVy5C\n3J2roQoYeM85zjkKL9Ti4K5CnD9XPaBasOPGh2LhNamIiKZ7c4QQQgghtlBSR4aN2WLG9/m78OGp\nr9Bu1PU7fnzIODw8/S5E+IS6YHWuVV3fjre/PYtdx8vtGh8VosUjN09CZnJIv2O52YzaPXtR+vGn\n0JWW2b0m/8lZiLv7DmgTE+1+Tjdjhwknj5Tj4O5C1FS1DOi58eOCsfCaVMQkBA54XkIIIYSQsYiS\nOjIsTladw7vHP0NxU/9JjEapxp2ZN+KqpHmQ2OgqjtHUasBn2/Lwze4Cu+7NqZQSbl2cihsXJPXb\nd85iNKJmx06Uf/4ldOX9H2ntpk1ORtzdd8B/0kS7n9OtvrYNR/cX4+j+ErsrWXZLSA7G3KuSkTAu\neMDzEkIIIYSMZZTUEZcqaSzH+ye/wLHKM3aNzwpPx4PT7kCw9+jatWlp78CXO/Lx9a586OwsFjJt\nfBgeunEiwoO8bY4ztbaiauNmVHzzLYwN9lWzBADPcvyHZwAAGxVJREFU6GjE3Xn7gIugmExm5Jyq\nwtH9xSjKq7P7ed3SJoZjzqJkak9ACCGEEDJIlNQRl6jXNeKT099ia+EecN7/xSo/tQ/uyroZ8+IG\nX2XRHbXqjPhqZz7W78xHu96OBtsAokK8sXZ5BrIzwm1+LfQXL6Liq29R/f0WWPT997Lrpg4NQcyt\ntyB04QIwhe3dP2s11S04ur8EJw+X2t2SoJskMUycEoXZi8YhJMxnQM8lhBBCCCE9UVJHnKpR34wv\nz23C93k7YbT0n8QwxnB10nzcOvE6eKtGT7XD1vYOfLOnEF/uyEebnccSfbxUWL0kFUtnx0Mp05ON\nc47ms2dR+e1G1O3bD1jsryqpCQ9D9C03I2TBfEhK+/4qMOhNOHeyEscOlqC0sN7uubqpNUpMnhGL\n7LkJ8A8cPX++hBBCCCHDiZI64hTNhlZ8lfM9Nl3YDoO5w67npAQl4r6ptyEhIMbJq3Odiw3tWL8z\nH5v3F0PfYd8xS6VCwnXzErHqqhRoPcXtA8x6PWp27ETltxvsr2TZRRMRjphVKxF8xTy7kjmz2YKC\n8zU4ebgMuWeqYDLanzh2CwrxRva8RGROi4ZKTX/tEEIIIYQ4Ev10RRyqrr0B3+T+gC0Fu2EwGex6\nToCnH1ZPXIEr4meMmkIohRVN+HxbHnYeL4fFYn8d/zmZkbhnWbrsvTldeQWqNm5C9Q9bYW7rv4ed\nNc/oqM6duXlz+z1myTlHRWkTTh0pw+nj5WhvtS8x721cWiiy5yUgKSUETBo9x2gJIYQQQtwJJXXE\nIcqbq7A+ZzN2FR+E2WLfjpRaqcYNaUuwPPUqqJUqJ6/Q+cwWjiM51fhmVwGOna8Z0HNnZITj9qvT\nkBjVt5m6Wa9H3d59qP7+BzSfPTfgdfmmj0fUjSsQMG0qmCSfNHPOUVPVgrMnK3HmWDnqatoGPBcA\neGtVyJweiykzYxEYbLuoCyGEEEIIGTpK6sigcc5xqjoHGy5sw9GK0+B2dpZmjOHKhDlYNWE5/D37\nJjEjTWOLAd8fLMbGfUW42NB/vz1r08aH4farU5Ec07OxN+ccrecvoHrLD6jdtQdm3cBeF5KEoJkz\nEHXD9fBJTZEdxjlHdWUzzp2oxLmTlai92DqweboxICklBFNmxiIlPRwK5ejYcSWEEEIIGQkoqSMD\npjfqsaPoADbmbUd5c5Xdz2NgmB07FbdkLEOkb7gTV+h8nHOcLazHd3sLsfdkBUxm+49YAsDklBDc\nfk0a0uJ6tmrQV1WhZudu1OzYBV2Z/Y3Cu0kaDUIXLkDkiuvgGSH+GnPOUVXehLMnK3HuRCXqawe3\nIwcAPn4aZGXHYHJ2LBU+IYQQQggZJpTUEbtwzpFfX4ythXuxp+QQdEb7S+YDwIzoybglYxli/aOc\ntELXuNjQjm1HSrHtcCnKB3g8kTFg9sRI3LRwHFJiL+/MdTQ2onb3XtTu3IWW3PODWpcmMhIR116D\n0EULoPTue+TRZDSjMK8WF/5/e/ceHNd53nf8++wFwOIOkAAIgHdSpChBF5KybJcXXXxVYqet0/FM\n3DatMq3TcTNN02oyduM4ipNpWqepazV1MkpH9SQdj6qJbTluorRxLUaWdbFFS6JuJEWBF5AgAQIk\n7ljs7ekfZ0GtQADEAljsLvD7zGDO7nvOec8DasTD37znvO+bfZx8s4+Rofz+++WKREPc3NXObfs7\n2bGrhdAcM3OKiIiIyMpQqJN5jcRHeebsizzd/Rw9IxfzOtcw3r9xL3//lo+X9YyWE/Ekzx27yNNH\nezh2aiDv8ysiIT5092b+3j076FhfC0Di6lWuvPgTBp9/gaFjr+W1FME1oRDNd+2n/WcfoOH22657\nX25sJM7bb/Vz8o1LdL89QHKBs2/OymDbzvXcftdGbu5qp7JKf3WIiIiIlAr9y0yuM5VK8PLF13n2\n3E84euEYac8vcERCEQ5vfT8/d/NH6KhrK1CVhRWfSnH0eD8/OtbLj9+8xNQiAlFddZSfObCNTxzY\nTmNdJfFLl7jw5A8YfOFFRo+fgAUswj6binXNtN5/H20f+TBVba3X2tOpDD1nr9B9coDuE5fp7Rla\nVP+52jrquX3/Rm7d20F9Q2zJ/YmIiIjI8lOoEwASqQSvXHqT53qOcrT3tQUvR5CrOhrjwzsO8jO7\n7qc51liAKgtrIp7kx2/28dyxXo4e7yeRXNzI1q7NjTzwwW0cvL2dxOl3uPrdb3HmpaOMnz6z6Nos\nEqH5fXfR9pEP0XjnHVg4HMxW2TdK94nLdJ+8zJl3Bpc2GpfV2l7HLXd0sOe2dlo21C25PxEREREp\nLIW6NWwiMcmrfW/yk/Ov8lLvMeKLCHIAG+vbeeCm+zi09W6qIpXLXGVhXRoc5+hbfbx0vJ9XTl4m\nlV7EY5BARTTMPXs7+VhXM019p7n6t3/Oq197ldTYImeTzKrespnWD91H6733EKmv5+rgBK+8dIFz\n3YN0vz3A6PDi343LtaGjnj13dLDn9nbWt9YuS58iIiIisjIU6tYQd6d3tI+f9r7OTy++xvHLp/J+\ntHJayELs77iNB266l1tbd2NWHgtLJ1Np3uge5KW3+jl6vI/zi53CP2tXSwUfbk2yPXGJyeefZuCb\nZ8j/rbv3qmxZz/rDh1h/6CATVc2c7b7CC39xirPdg4yNLC54X8egY1MjN3dt4JY7OrSenIiIiEgZ\nU6hb5Uanxnij/yRv9J/klUtv0jeW36LYM3XWb+D+bQc4tPVuGqvql6nKwkmlM5w6P8RrpwY4dmqA\nt85cWdT7cdMq0wlutiu8v3qUtuFeki+cA/clB7lIfT31HzhAatdernotz/cMc/6x40xOJJfY87ui\nFWF27G5h1y1t7NzTRm1deY2qioiIiMjsFOpWmfHEBG9dPsXr/Sd4o/8kZ4fyX+tsplikigOb7+K+\n7X+Hnc1bS3pUbiqZ5lTPEMfPXOHYOwO8dXqQyalFhjh31iWH6YgPsCkxwA4fombk8rUJTpYStzKE\nmGrdQnLnnYzVddA/CoPd49Ddu4Rer9fQFGPXLW3cdEsbW3esIxINL2v/IiIiIlJ8CnVlLOMZekf6\nODl4mpOD3bw90M35kUs4i5tVMVc0HGVfexcf3LSffR1dJfmunLtz+eokx89e4fjZqxw/c4XTvcN5\nLwSe7Yya9CRtU1foiA/QEb9M59QglZnEkutMWZSxyiZGK5uZaNrIRO0GhhNR0hmHfqB/8Yt/zxSt\nCLN1xzq2725h+64W1rfWlnQIFxEREZGlU6grExnP0Dc2wOmrPZwZ6uH01R5ODZ5mPDm5bNeIhiLs\nbe/ig5v3sb/9NqqiVcvW91KlM07v5TG6Lwy/+9M7zMh4/qHLPENzcoTWqau0TV2hdeoKbYmr1KSX\nNulIhhATFfWMVzRe+xmtbGYyOuMx1TiwDMEbggXN2zc1sn1XCzt2tbBxSxPhiBYDFxEREVlLFOpK\n0GQyTu9oH2eHzmdD3HnODp1f9OyU86mrrGXvhlvZ19HF3vYuYkUOcu7O1dEpevpGOd83ytm+UU5f\nGObMxRHieb4LZ56hKTnKusQw6xLDrE9mt4khor749+pSFgnCW7SRiYqGawFuMlqHW2EDlYWM9s4G\nNm9vZsv2dWze3kysuqKg1xQRERGR0qZQVyTuzlB8hAsjl4Kf0WDbO9LH4OTVgl57W+Mm9nZ0sa+9\ni53NWwmFVn5kJ55I0X9lgkuDE5zvH+N8/yjnskFuPJ5acD/mGepSEzQmx2hMjtKYGqU5McK65DDN\niVHC5D+7pwPJcBUT0Tomo3VMRuuZjASfJ6J1JCMrtwh3OByic0sjm7evY8v2ZjZuaaaySv/bioiI\niMi79K/DAjs/cpH+sQH6xgboGx+gf3ww+D4+sKgFvhejpWYdXa27ubV1F11tu1dkYfB0xhkajXNp\ncIK+K+NcGpzg0uD4te9XFjg1v3mGmnScutQE9alxGq6Ft2DbkBzPO7hlCDEVqSYeqSEeqWEqWvPu\n50gNk9E60qHoYn7tJWtsjtG5uYnOzY10bm6ifWODJjcRERERkXmVZKgzs53AV4GDQAJ4HPi8u8/7\nApmZfQb4ArAd6AZ+x92fKHC58/o3T315xa/ZUt3M7paddLXupqt1F62165e1/6lkmqsjcQaH4wwO\nTzIwFGwHh+MMZLdXRuJkMvO8N+ZOZSZBTTpOTTpOdXqS+tQEdakJ6lLjOdtJQgt8/yxtYRLhWPAT\niTGV3SbC736OR2pIhGPBy2hFFquOsqGzIQhwW5ro3NykZQZEREREJG8lF+rMrAU4QjCdxJeBZuAh\nYCvwd+c57zPA/wS+AzySPfZxM0u6+3cKW3XxREMRtjdvYde6bexav52b1m3LayTO3ZmcSjE+mWJ0\nIsHw2BTDY1MMjb37eTj7eWhsipHxqVmXCAh7mqp0gqrMFFXpBNsyCWLpKarTcarTcWrSk9ltnOpU\nsJ1vhC1DiGS4komKBpKhClLhKpKhSpLh7E/O5+kglwqX7rtljc0x2joa2NDZwIaOejZ0NlDfWKWZ\nKUVERERkyUou1BEEuCZgl7tfADCzM8CjZnbI3X848wQzCwP/Efieu/98tu2/E4TDrxAEvbJXGa5g\nS+NGtjZuZGvTJjY3dLKhegPJJMQTaSanUlzoTfHO1CXiU2nG4knGJ5OMTSQYm8x+ztmOTSQZn0wQ\nSqeoyCSpyCSp9CQVmRTR7PeKTIpKT7I+k6QjkySWnqIqk3g3wGU/V3jwHpwDGYuQCkVIh6KkQhWk\nQlHSoQpS4RjJaD1XQlH6s+3X9mU/p0KVJMMVpEOlG9DmU1tXyfq2Wlra6ljfVkdLWy1tHfWazERE\nRERECqYUQ92ngaemA13WNwgex/w0cF2oI3hMsxP4F9MN7u5m9nXgm2a2392PFq7kZeBOyCGUgXDG\nqcrUUJ2qoypZT8VUDeF4DZmJCOlEknemxjkxdQySLxH1NBFPE8mkiXiKiKeJeppwJkXEnTBOhAw1\n7tQDIZywO2HPECbYj4XIWJhMduuEyITCpC1C2iJkQhHS4Woy0eD7eCjCiEXIWJh0KErawsEx2WNX\nOzOob4yxrqWWlg3vDXAKbyIiIiKy0krqX+Bm1gRsAf4kt93d02b2GrBvjlP3EQwSvTyj/aeAZfcX\nJdTd+0wn5gYeCrZYdhsKSsv57BhuIdwM591txkK4JXBS2bYKPFSJV+YeGxyXsDBxC0GBp9Zf7cKR\nEE3rqmlaV0Pz+mDbtK6a5vU1NDZVay04ERERESkZJRXqgI7s9sIs+y4Cd89znrt77yznAGxahtoW\nZaDqjmJdWuZRXVtBQ2OM+sYYDU0x6htiNDRWUd8Uo6ExRl19FRbS+24iIiIiUvpKLdTVZbcTs+yb\nBGrmOW+2OfKnZ8uc6zxZRcygpq6S2rpKauuqqK2rpKb+vd9r6ytpaIxpmQARERERWTVKLdTd6Jm2\n66ddnP+86bnw5zpPSpVBLBYlVl1BrKaC6urpz8G2uqYi+F4dpbq2grq6KmI1FYQ0uiYiIiIia0yp\nhbrR7DY2y75Yzv7Zzpttga/qGf3OycweBn7rRscBbNq0iXA43LOQY7/0B59UyhARERERkYIptVB3\nLrttn2VfBzDznblpPYCZWZu79804h3nOu8bdHwYeXliZIiIiIiIipaGkpvBz92HgLHBnbnt2Hbou\ngtksZ/MywSyXd85on54Vc67zREREREREylpJhbqsbwGfNLPOnLYHCSY7eXyOc54F+oHPTTeYmWW/\nv+3uM5c6EBERERERWRXM3W981Aoys1bgdYL34L4KtAEPAX/p7v8ge8wHgB3At919Mtv2SwTr2z0J\n/BXwKeBjwKfc/S9W+vcQERERERFZCSUX6gDMbA/wX4ADwBDwBPAbOQHufwC/CGxz93M55/0zggC4\nCXgb+LK7f3uFyxcREREREVkxJRnqREREREREZGFK8Z06ERERERERWSCFOhERERERkTJWauvUrSq7\nd+9+FthY7DpERERERKSknT9x4sTBxZ6skboCS6fTjcWuQZZXJpOpKnYNpWY1/JmU6u9QzLpW6tqF\nus5y97tc/em+sDqV6t8hxVTufyalWr/uC6XV93L1l0gkNi/lfE2UUmBm5u5uxa5Dlo+ZPezuDxe7\njlKyGv5MSvV3KGZdK3XtQl1nuftdrv50X1idSvXvkGIq9z+TUq1f94XS6rtU7g0aqRMRERERESlj\nCnUiIiIiIiJlTKFORERERESkjCnUiYiIiIiIlDGFOhERERERkTKmUCciIiIiIlLGFOpE8nek2AWU\noCPFLmAZHCl2AXM4sgauXajrLHe/y92frC5Hil1ACTpS7AKW6EixC5jDkTVw7UJeZ7n7Xu7+FkXr\n1BWY1iMSEZFcui+IiMhMWqdORERERERkDVOoExERERERKWMKdYX328UuQERESoruCyIiMtOS7g16\np05ERERERKSMaaRORERERESkjCnUiYiIiIiIlDGFOhERERERkTKmUCciIiIiIlLGFOpERERERETK\nmEKdiIiIiIhIGVOoWyQz22lm3zOzq2bWZ2ZfM7NYHufvMLNJM9tXyDpFRKT0mNn3zeyRYtchIiLF\nMdd9wMw+amYvmtmYmb1tZv9yIf0p1C2CmbUAR4A9wJeBR4HPAo8v8Pxa4M+BigKVKCIiJcrMfhO4\nv9h1iIhIccx1HzCzw8D/BsaAh4Dngf9qZr92oz4jy13kGvEQ0ATscvcLAGZ2BnjUzA65+w/nOtHM\ntgBPArevRKEiIlIazCwM/B7BPcSLXI6IiKywBdwHfh94DfiYu6eAPzYzA75kZo+6+/hcfWukbnE+\nDTw1HeiyvgGMZ/fNysw+ArwObAQeK2SBIiJSOsysEngF+LfAfwKsuBWJiMhKutF9IDvw8z7gsWyg\nm/aHQAPw8fn6V6jLk5k1AVuAn+a2u3uaIFnP947cHuAp4A7g2ULVKCIiJacKqAQ+4e6/XuxiRERk\nxd3oPrCPYPTu5RntL+fsn5Mev8xfR3Z7YZZ9F4G75zn36+7+CEAwkioiImuBuw+b2c3unil2LSIi\nsvIWcB+YNWO4e8LMrgCb5utfI3X5q8tuJ2bZNwnUzHXijKFUERFZQxToRETWthvcBxadMUChbjFu\n9GeWXpEqRERERERktVhSxlCoy99odjvbmnSxnP0iIiIiIiILsaSMoVCXv3PZbfss+zqA3hWsRURE\nREREyl9PdvuejGFmFUAzN8gYCnV5cvdh4CxwZ257dt2JLmbMiikiIiIiInIDLxMsc3DnjPbpWS/n\nzRgKdYvzLeCTZtaZ0/YgwQuMjxenJBERERERKUfufpYguP3z7GDRtF8BhoD/M9/5WtJgcb4C/CLw\njJl9FWgjWBn+O+7+PICZfQDYAXzb3Sfn6EfrGoiIiIiICMDngb8G/sbMvgkcBn4B+FV3n21WzGs0\nUrcI7t4P3AOcAv4DwSjdHwH/OOewXwb+FGiZr6tC1SgiIiXN0T1ARGQtu+4+4O7fBz5F8A7dIwTr\nX3/O3f/wRp2Zu+4pIiIiIiIi5UojdSIiIiIiImVMoU5ERERERKSMKdSJiIiIiIiUMYU6ERERERGR\nMqZQJyIiIiIiUsYU6kRERERERMqYQp2IiIiIiEgZU6gTEREREREpYwp1IiIiIiIiZUyhTkRERERE\npIwp1ImIiKwQM3vCzJ43s/9VpOt/MXv9t4txfRERKQxz92LXICIisuLMrBJ4EtgNbAV6gDeyu6PA\nBqAX+C13f2GZrvkDd79/OfpaDXWIiMjyiBS7ABERkWJw9yngATP7J8BjwIPu/oPcY8zsC8ARM/tZ\nd/9/xahTRETkRvT4pYiIrHUHgRTw/Mwd7v57wN8Aj5qZrXRhIiIiC6FQJyIia90B4GV3n5xj/5ME\nj2fes2IViYiI5EGhTkRE1iwzayZ4p+5H8xx2DjCga0WKEhERyZPeqRMRkbXsIEFge3aeYxqy26pC\nFWFmtwOb3P0vc9qagE+4+5/ltH0GuBvYDnw6+3ML4ASh85eAVuBBYArYC/ymux8tVO0iIlJ8GqkT\nEZG17BBBIJpvpG5P9piLBazj68CHZ7T9KvA701/MrBrY4+7/GvgA8F1g1N0/7+5fIAinfwL8Q3d/\nyN1/A3ga+IMC1i0iIiVAoU5ERNayA8A77t4/zzGHs9sfFqIAM6shGH37/oxd9xOEsmn3EMzE2QCs\nB37s7t/J2Z8mePfvizltieyxIiKyiunxSxERWZOy69TtA745zzGNBI9o/tjdz2XbWoHPAV8C/gg4\nC1QSPAb5p+7+VJ6lHMpun8m5bowg6D2ac9zLwADwcYKRw/82o5/3Af/e3TM5bfuBE3nWIyIiZUah\nTkRE1qr3AxXM/+jlP80e87vTDe7eb2bfIng88lfc3QHM7A7gRTNb7+5jedRxL/CSu4/mtB0kWAD9\n2rp57n4pe53DwKnp79m23QSLpf8wp82Aj+bWLiIiq5MevxQRkbXqIMGI16yTpJhZPfDrwBO5E5hk\n3Qc8PR3osrYBSYIJSvJx3yw13AucdPfeWY4/DPztLH0MufurOW0HgBbge2ZWa2br8qxLRETKhEKd\niIisVQeBQXe/7vFEM4sCfwacAT47y7n3EyxKPn18E/BrwGfdPbnQAsysjuAR0Hdy2kLAJ4Aj2e9f\ny9lXkz3+Gd7rXq4fcfwU8Iq7nwX+EdC00LpERKS86PFLERFZc8ysAvgg1494YWb7gUeAHuCjMx+l\nzD7WeBh4xcw+C8QIHpV80N278yzlEBAGbs32HSV4XLIO6DGzduByzvEHssfPrPse4D/PaNsJ/Cjb\n5w53/+M8axMRkTKhUCciImuGmW0EHiOYJbIeuMvM/iq7O0IQ0AaA33b3/ztHN/sAd/eHl6Gk+4Cf\nAENm9rsEj4M+CnwD+FfALwNfyTm+FXjG3Xtyfqcagpkvvzuj768B/w74/Rl9iIjIKmPvfR1ARERE\n5mNmDwGH3f3nFnHuD9z9/pzvLwF/7e5fnOe0ZTezDhERKW96p05ERCQ/93H9O215y643dydzTNQi\nIiKyUHr8UkREZAHM7DbgFwgmSRk1s4PuvpRAdg/B45bPLUd9IiKydinUiYiILIC7vwa8RvCe2mJZ\nzud24Cl3H1lSYUuvQ0REypzeqRMREVkhZvYEwXp259z954tw/S8BnwQa3f2mlb6+iIgUhkKdiIiI\niIhIGdNEKSIiIiIiImVMoU5ERERERKSMKdSJiIiIiIiUMYU6ERERERGRMqZQJyIiIiIiUsYU6kRE\nRERERMqYQp2IiIiIiEgZ+/8+1V0kGAvGngAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116f5fa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let's plot over a range of particle diameters\n",
    "diams = np.logspace(-1, 1, 500)\n",
    "\n",
    "particles = []\n",
    "\n",
    "particles.append((\"Amm. Sulfate\", 1.521 + 0*1j))   # PubChem (589nm)\n",
    "particles.append((\"BC\", 1.95 + 0.79*1j))\n",
    "particles.append((\"Sulfuric Acid\", 1.4183 + 0*1j)) # CRC (589nm)\n",
    "particles.append((\"Water\", 1.331 + 1.64e-8*1j))    # S+P T15.1 (650nm)\n",
    "\n",
    "fig, ax = plt.subplots(1, figsize=(14,7))\n",
    "\n",
    "for each in particles:\n",
    "    res = []\n",
    "    for i, dp in enumerate(diams):\n",
    "        qsca, _, _ = mie.bhmie_scatter(dp/2., wl, each[1])\n",
    "        \n",
    "        res.append(qsca)\n",
    "\n",
    "    ax.plot(diams, res, label=each[0], lw=6)\n",
    "    \n",
    "ax.set_title(\"Scattering by Homogeneous Particles at $\\lambda={:.0f}\\;nm$\".format(wl*1000))\n",
    "ax.set_ylabel(\"$Q_{sca}$\")\n",
    "ax.set_xlabel(\"$D_P\\;[\\mu m]$\")\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.semilogx()\n",
    "ax.xaxis.set_major_formatter(mtick.FormatStrFormatter(\"%.3g\"))\n",
    "\n",
    "sns.despine(offset=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `mie.core_shell_scatter(particle_radius, core_fraction, radiation_lambda, n_shell, n_particle)`\n",
    "\n",
    "The `core_shell_scatter` function computes the scattering/absoprtion efficiency and assymetry parameter for a heterogeneous, core-shell mixed particle.\n",
    "\n",
    "The function has five parameters:\n",
    "\n",
    "  * `particle_radius`: total particle radius (core and shell) in microns\n",
    "  * `core_fraction`: the fraction of the particle comprised by it's core (0.0-1.0)\n",
    "  * `radiation_lambda`: wavelength of the incident light in microns\n",
    "  * `n_core`: complex refractive index of the particle core material\n",
    "  * `n_shell`: complex refractive index of the particle shell material\n",
    "  \n",
    "The function returns three floats:\n",
    "\n",
    "  * $Q_{sca}$: Scattering efficiency\n",
    "  * $Q_{abs}$: Absoprtion efficiency\n",
    "  * $asym$: assymetry parameter for the specified particle\n",
    "\n",
    "### Example: Scattering and Absorption by BC Coated with SO4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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lZRUNfgwREZGWRkmdiIg0ibc/Wc2vHvs0biJ10sR+/PjKCWSkNX6errTUMDec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vnzY1w8b6OJrQLRE3vQsXOA3cdO/Nf/UXFJe9yENs6cCXbBkhPEYw90sfvYQgghhBC3KynqhHCw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\n/TL3MeeGUbQ/ns5twnn67oH4eOt7FxERkUtNTk4O7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+GcVGZ+MZcT+e6SWXDmB1OY1J/Y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\nfEBoUgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116f95dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "core_frac = np.linspace(0.0, 1.0, 5)\n",
    "\n",
    "refr_SO4 = [\n",
    "    1.53+imag*1j for imag in \\\n",
    "        [0.158, 0.057, 0.003, 0.001, 0.001, 0.000, 0.000, 0.000, \n",
    "         0.000, 0.000, 0.000, 0.000, 0.000, 0.551]            \n",
    "]\n",
    "\n",
    "refr_BC = 1.95 + 0.79*1j\n",
    "\n",
    "res = []\n",
    "\n",
    "fig, ax = plt.subplots(1, figsize=(14,7))\n",
    "\n",
    "for frac in core_frac:\n",
    "    res = []\n",
    "    for dp in diams:\n",
    "        qsca, qabs, _ = mie.core_shell_scatter(\n",
    "                                particle_radius=dp/2.,\n",
    "                                core_fraction=frac,\n",
    "                                radiation_lambda=wl,\n",
    "                                n_core=refr_BC,\n",
    "                                n_shell=refr_SO4\n",
    "                                ) \n",
    "        res.append(qsca)\n",
    "        \n",
    "    ax.plot(diams, res, label=\"Core Frac={:.1f}\".format(frac), lw=6)\n",
    "\n",
    "ax.set_title(\"Scattering by Heterogeneous BC/SO4 at $\\lambda={:.0f}\\;nm$\".format(wl*1000))\n",
    "ax.set_ylabel(\"$Q_{sca}$\")\n",
    "ax.set_xlabel(\"$D_P\\;[\\mu m]$\")\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.semilogx()\n",
    "ax.xaxis.set_major_formatter(mtick.FormatStrFormatter(\"%.3g\"))\n",
    "\n",
    "sns.despine(offset=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `mie.integrate_mode(core_fraction, n_shell, n_core, radiation_lambda, mode_radius, mode_sigma, r_min=1e-3, r_max=100., nr=200)`\n",
    "\n",
    "The `integrate_mode` function integrates the Mie theory calculation over a lognormal aerosol mode with homogeneous particle properties, weighting by its size distribution.\n",
    "\n",
    "The function has six required parameters:\n",
    "\n",
    "  * `core_fraction`: the fraction of the particle comprised by it's core (0.0-1.0)\n",
    "  * `n_core`: complex refractive index of the particle core material\n",
    "  * `n_shell`: complex refractive index of the particle shell material\n",
    "  * `radiation_lambda`: wavelength of the incident light in microns\n",
    "  * `mode_radius`: the geometric mean or mode radius of the aerosol size distribution in microns\n",
    "  * `mode_sigma`: the geometric standard deviation of the aerosol size distribution\n",
    "  \n",
    "The function also has three optional parameters:\n",
    "\n",
    "  * `r_min`: the minimum radius to integrate over\n",
    "  * `r_max`: the maximum radius to integrate over\n",
    "  * `nr`: the number of particle radii to use in the integration\n",
    "  \n",
    "The function returns three floats:\n",
    "\n",
    "  * $Q_{sca}$: Scattering efficiency\n",
    "  * $Q_{abs}$: Absoprtion efficiency\n",
    "  * $asym$: assymetry parameter for the specified particle\n",
    "\n",
    "### Example: Scattering of Ammonium Sulfate at 658 nm for Various Size Distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UU8879mY2HtgIOKbRqQdw92hmdwCbFKjmROBe4ElgzUoaKiIiIjLAahHGIfOk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\nbwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11742bba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "refr_ammsulf = 1.521 + 0*1j\n",
    "\n",
    "# Range of Geo. Means\n",
    "gm_range = np.linspace(0.05, 0.3, 50)\n",
    "\n",
    "# Range of Geo. Standard Deviations\n",
    "gsd_range = np.linspace(1.25, 2.5, 50)\n",
    "\n",
    "val_matrix = np.zeros((len(gm_range), len(gsd_range))) * np.nan\n",
    "\n",
    "for i, gm in enumerate(gm_range):\n",
    "    for j, gsd in enumerate(gsd_range):\n",
    "        qsca, qabs, _ = mie.integrate_mode(\n",
    "                                core_fraction=1,\n",
    "                                n_shell=refr_BC,\n",
    "                                n_core=refr_ammsulf,\n",
    "                                radiation_lambda=wl,\n",
    "                                mode_radius=gm,\n",
    "                                mode_sigma=gsd\n",
    "                                )\n",
    "        val_matrix[i][j] = qsca\n",
    "        \n",
    "# Plot the results\n",
    "fig, ax = plt.subplots(1, figsize=(12,8))\n",
    "\n",
    "im = plt.pcolormesh(gm_range, gsd_range, val_matrix.T, cmap=\"seismic\")\n",
    "\n",
    "ax.set_xlabel(\"$GM\\;[\\mu m]$\")\n",
    "ax.set_ylabel(\"$GSD$\")\n",
    "ax.set_title(\"Integrated Scattering of Amm. Sulfate at 658 nm\", y=1.05)\n",
    "\n",
    "ax.set_ylim([gsd_range.min(), gsd_range.max()])\n",
    "\n",
    "plt.colorbar(im, label=\"$Q_{sca}$\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
